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Finding the Fourth Proportional to 315.26, 473.17 and 132.60

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Solution

The fourth proportional to 315.26, 473.17 and 132.60 is: 199.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.26 : 473.17 = 132.60 : x
  2. Step 2: Convert to fraction form
    315.26/473.17 = 132.60/x
  3. Step 3: Cross multiply
    315.26x = 473.17 × 132.60
  4. Step 4: Simplify right side
    315.26x = 62,742.34
  5. Step 5: Solve for x
    x = 62,742.34/315.26
  6. Step 6: Final answer
    x = 199.02

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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.