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Finding the Fourth Proportional to 356.50, 534.82 and 140.08

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Solution

The fourth proportional to 356.50, 534.82 and 140.08 is: 210.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.50 : 534.82 = 140.08 : x
  2. Step 2: Convert to fraction form
    356.50/534.82 = 140.08/x
  3. Step 3: Cross multiply
    356.50x = 534.82 × 140.08
  4. Step 4: Simplify right side
    356.50x = 74,917.59
  5. Step 5: Solve for x
    x = 74,917.59/356.50
  6. Step 6: Final answer
    x = 210.15

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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.