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Finding the Fourth Proportional to 154.19, 229.91 and 151.46

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Solution

The fourth proportional to 154.19, 229.91 and 151.46 is: 225.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.19 : 229.91 = 151.46 : x
  2. Step 2: Convert to fraction form
    154.19/229.91 = 151.46/x
  3. Step 3: Cross multiply
    154.19x = 229.91 × 151.46
  4. Step 4: Simplify right side
    154.19x = 34,821.12
  5. Step 5: Solve for x
    x = 34,821.12/154.19
  6. Step 6: Final answer
    x = 225.83

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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.