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Finding the Fourth Proportional to 438.02, 657.10 and 194.54

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Solution

The fourth proportional to 438.02, 657.10 and 194.54 is: 291.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.02 : 657.10 = 194.54 : x
  2. Step 2: Convert to fraction form
    438.02/657.10 = 194.54/x
  3. Step 3: Cross multiply
    438.02x = 657.10 × 194.54
  4. Step 4: Simplify right side
    438.02x = 127,832.23
  5. Step 5: Solve for x
    x = 127,832.23/438.02
  6. Step 6: Final answer
    x = 291.84

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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.