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Finding the Fourth Proportional to 648.14, 972.14 and 237.20

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Solution

The fourth proportional to 648.14, 972.14 and 237.20 is: 355.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.14 : 972.14 = 237.20 : x
  2. Step 2: Convert to fraction form
    648.14/972.14 = 237.20/x
  3. Step 3: Cross multiply
    648.14x = 972.14 × 237.20
  4. Step 4: Simplify right side
    648.14x = 230,585.56
  5. Step 5: Solve for x
    x = 230,585.56/648.14
  6. Step 6: Final answer
    x = 355.77

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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.