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Finding the Fourth Proportional to 154.98, 232.40 and 52.29

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Solution

The fourth proportional to 154.98, 232.40 and 52.29 is: 78.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.98 : 232.40 = 52.29 : x
  2. Step 2: Convert to fraction form
    154.98/232.40 = 52.29/x
  3. Step 3: Cross multiply
    154.98x = 232.40 × 52.29
  4. Step 4: Simplify right side
    154.98x = 12,151.93
  5. Step 5: Solve for x
    x = 12,151.93/154.98
  6. Step 6: Final answer
    x = 78.41

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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.