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Finding the Fourth Proportional to 562.16, 843.14 and 151.32

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Solution

The fourth proportional to 562.16, 843.14 and 151.32 is: 226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.16 : 843.14 = 151.32 : x
  2. Step 2: Convert to fraction form
    562.16/843.14 = 151.32/x
  3. Step 3: Cross multiply
    562.16x = 843.14 × 151.32
  4. Step 4: Simplify right side
    562.16x = 127,583.19
  5. Step 5: Solve for x
    x = 127,583.19/562.16
  6. Step 6: Final answer
    x = 226.95

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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.