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Finding the Fourth Proportional to 154.40, 232.53 and 140.12

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Solution

The fourth proportional to 154.40, 232.53 and 140.12 is: 211.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.40 : 232.53 = 140.12 : x
  2. Step 2: Convert to fraction form
    154.40/232.53 = 140.12/x
  3. Step 3: Cross multiply
    154.40x = 232.53 × 140.12
  4. Step 4: Simplify right side
    154.40x = 32,582.10
  5. Step 5: Solve for x
    x = 32,582.10/154.40
  6. Step 6: Final answer
    x = 211.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.