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Finding the Fourth Proportional to 735.10, 1,102.46 and 214.96

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Solution

The fourth proportional to 735.10, 1,102.46 and 214.96 is: 322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.10 : 1,102.46 = 214.96 : x
  2. Step 2: Convert to fraction form
    735.10/1,102.46 = 214.96/x
  3. Step 3: Cross multiply
    735.10x = 1,102.46 × 214.96
  4. Step 4: Simplify right side
    735.10x = 236,978.21
  5. Step 5: Solve for x
    x = 236,978.21/735.10
  6. Step 6: Final answer
    x = 322.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.