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Finding the Fourth Proportional to 563.47, 845.17 and 152.66

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Solution

The fourth proportional to 563.47, 845.17 and 152.66 is: 228.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.47 : 845.17 = 152.66 : x
  2. Step 2: Convert to fraction form
    563.47/845.17 = 152.66/x
  3. Step 3: Cross multiply
    563.47x = 845.17 × 152.66
  4. Step 4: Simplify right side
    563.47x = 129,025.38
  5. Step 5: Solve for x
    x = 129,025.38/563.47
  6. Step 6: Final answer
    x = 228.98

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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.