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Finding the Fourth Proportional to 356.58, 534.89 and 140.21

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Solution

The fourth proportional to 356.58, 534.89 and 140.21 is: 210.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.58 : 534.89 = 140.21 : x
  2. Step 2: Convert to fraction form
    356.58/534.89 = 140.21/x
  3. Step 3: Cross multiply
    356.58x = 534.89 × 140.21
  4. Step 4: Simplify right side
    356.58x = 74,993.55
  5. Step 5: Solve for x
    x = 74,993.55/356.58
  6. Step 6: Final answer
    x = 210.31

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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.