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Finding the Fourth Proportional to 562.97, 844.40 and 152.10

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Solution

The fourth proportional to 562.97, 844.40 and 152.10 is: 228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.97 : 844.40 = 152.10 : x
  2. Step 2: Convert to fraction form
    562.97/844.40 = 152.10/x
  3. Step 3: Cross multiply
    562.97x = 844.40 × 152.10
  4. Step 4: Simplify right side
    562.97x = 128,432.48
  5. Step 5: Solve for x
    x = 128,432.48/562.97
  6. Step 6: Final answer
    x = 228.14

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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.