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Finding the Fourth Proportional to 154.61, 211.81 and 148.76

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Solution

The fourth proportional to 154.61, 211.81 and 148.76 is: 203.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.61 : 211.81 = 148.76 : x
  2. Step 2: Convert to fraction form
    154.61/211.81 = 148.76/x
  3. Step 3: Cross multiply
    154.61x = 211.81 × 148.76
  4. Step 4: Simplify right side
    154.61x = 31,507.18
  5. Step 5: Solve for x
    x = 31,507.18/154.61
  6. Step 6: Final answer
    x = 203.79

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.