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Finding the Fourth Proportional to 154.61, 231.61 and 145.04

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Solution

The fourth proportional to 154.61, 231.61 and 145.04 is: 217.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.61 : 231.61 = 145.04 : x
  2. Step 2: Convert to fraction form
    154.61/231.61 = 145.04/x
  3. Step 3: Cross multiply
    154.61x = 231.61 × 145.04
  4. Step 4: Simplify right side
    154.61x = 33,592.77
  5. Step 5: Solve for x
    x = 33,592.77/154.61
  6. Step 6: Final answer
    x = 217.28

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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.