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Finding the Fourth Proportional to 154.98, 232.47 and 135.06

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Solution

The fourth proportional to 154.98, 232.47 and 135.06 is: 202.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.98 : 232.47 = 135.06 : x
  2. Step 2: Convert to fraction form
    154.98/232.47 = 135.06/x
  3. Step 3: Cross multiply
    154.98x = 232.47 × 135.06
  4. Step 4: Simplify right side
    154.98x = 31,397.40
  5. Step 5: Solve for x
    x = 31,397.40/154.98
  6. Step 6: Final answer
    x = 202.59

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Why These Related Problems?

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