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Finding the Fourth Proportional to 356.50, 534.97 and 140.06

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Solution

The fourth proportional to 356.50, 534.97 and 140.06 is: 210.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.50 : 534.97 = 140.06 : x
  2. Step 2: Convert to fraction form
    356.50/534.97 = 140.06/x
  3. Step 3: Cross multiply
    356.50x = 534.97 × 140.06
  4. Step 4: Simplify right side
    356.50x = 74,929.41
  5. Step 5: Solve for x
    x = 74,929.41/356.50
  6. Step 6: Final answer
    x = 210.18

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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.