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Finding the Fourth Proportional to 154.04, 230.85 and 134.87

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Solution

The fourth proportional to 154.04, 230.85 and 134.87 is: 202.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.04 : 230.85 = 134.87 : x
  2. Step 2: Convert to fraction form
    154.04/230.85 = 134.87/x
  3. Step 3: Cross multiply
    154.04x = 230.85 × 134.87
  4. Step 4: Simplify right side
    154.04x = 31,133.59
  5. Step 5: Solve for x
    x = 31,133.59/154.04
  6. Step 6: Final answer
    x = 202.12

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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.