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Finding the Fourth Proportional to 154.71, 214.59 and 149.25

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Solution

The fourth proportional to 154.71, 214.59 and 149.25 is: 207.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.71 : 214.59 = 149.25 : x
  2. Step 2: Convert to fraction form
    154.71/214.59 = 149.25/x
  3. Step 3: Cross multiply
    154.71x = 214.59 × 149.25
  4. Step 4: Simplify right side
    154.71x = 32,027.56
  5. Step 5: Solve for x
    x = 32,027.56/154.71
  6. Step 6: Final answer
    x = 207.02

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.