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Finding the Fourth Proportional to 145.31, 216.54 and 140.41

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Solution

The fourth proportional to 145.31, 216.54 and 140.41 is: 209.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.31 : 216.54 = 140.41 : x
  2. Step 2: Convert to fraction form
    145.31/216.54 = 140.41/x
  3. Step 3: Cross multiply
    145.31x = 216.54 × 140.41
  4. Step 4: Simplify right side
    145.31x = 30,403.45
  5. Step 5: Solve for x
    x = 30,403.45/145.31
  6. Step 6: Final answer
    x = 209.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.