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Finding the Fourth Proportional to 524.74, 787.19 and 178.11

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Solution

The fourth proportional to 524.74, 787.19 and 178.11 is: 267.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.74 : 787.19 = 178.11 : x
  2. Step 2: Convert to fraction form
    524.74/787.19 = 178.11/x
  3. Step 3: Cross multiply
    524.74x = 787.19 × 178.11
  4. Step 4: Simplify right side
    524.74x = 140,205.52
  5. Step 5: Solve for x
    x = 140,205.52/524.74
  6. Step 6: Final answer
    x = 267.19

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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.