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Finding the Fourth Proportional to 524.80, 787.10 and 140.08

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Solution

The fourth proportional to 524.80, 787.10 and 140.08 is: 210.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.80 : 787.10 = 140.08 : x
  2. Step 2: Convert to fraction form
    524.80/787.10 = 140.08/x
  3. Step 3: Cross multiply
    524.80x = 787.10 × 140.08
  4. Step 4: Simplify right side
    524.80x = 110,256.97
  5. Step 5: Solve for x
    x = 110,256.97/524.80
  6. Step 6: Final answer
    x = 210.09

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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.