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Finding the Fourth Proportional to 356.46, 534.81 and 139.92

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Solution

The fourth proportional to 356.46, 534.81 and 139.92 is: 209.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.46 : 534.81 = 139.92 : x
  2. Step 2: Convert to fraction form
    356.46/534.81 = 139.92/x
  3. Step 3: Cross multiply
    356.46x = 534.81 × 139.92
  4. Step 4: Simplify right side
    356.46x = 74,830.62
  5. Step 5: Solve for x
    x = 74,830.62/356.46
  6. Step 6: Final answer
    x = 209.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.