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Finding the Fourth Proportional to 420.64, 631.05 and 132.07

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Solution

The fourth proportional to 420.64, 631.05 and 132.07 is: 198.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.64 : 631.05 = 132.07 : x
  2. Step 2: Convert to fraction form
    420.64/631.05 = 132.07/x
  3. Step 3: Cross multiply
    420.64x = 631.05 × 132.07
  4. Step 4: Simplify right side
    420.64x = 83,342.77
  5. Step 5: Solve for x
    x = 83,342.77/420.64
  6. Step 6: Final answer
    x = 198.13

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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.