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Finding the Fourth Proportional to 214.44, 295.75 and 152.47

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Solution

The fourth proportional to 214.44, 295.75 and 152.47 is: 210.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.44 : 295.75 = 152.47 : x
  2. Step 2: Convert to fraction form
    214.44/295.75 = 152.47/x
  3. Step 3: Cross multiply
    214.44x = 295.75 × 152.47
  4. Step 4: Simplify right side
    214.44x = 45,093.00
  5. Step 5: Solve for x
    x = 45,093.00/214.44
  6. Step 6: Final answer
    x = 210.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.