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Finding the Fourth Proportional to 154.01, 229.89 and 135.79

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Solution

The fourth proportional to 154.01, 229.89 and 135.79 is: 202.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.01 : 229.89 = 135.79 : x
  2. Step 2: Convert to fraction form
    154.01/229.89 = 135.79/x
  3. Step 3: Cross multiply
    154.01x = 229.89 × 135.79
  4. Step 4: Simplify right side
    154.01x = 31,216.76
  5. Step 5: Solve for x
    x = 31,216.76/154.01
  6. Step 6: Final answer
    x = 202.69

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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.