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Finding the Fourth Proportional to 148.66, 205.03 and 115.45

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Solution

The fourth proportional to 148.66, 205.03 and 115.45 is: 159.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.66 : 205.03 = 115.45 : x
  2. Step 2: Convert to fraction form
    148.66/205.03 = 115.45/x
  3. Step 3: Cross multiply
    148.66x = 205.03 × 115.45
  4. Step 4: Simplify right side
    148.66x = 23,670.71
  5. Step 5: Solve for x
    x = 23,670.71/148.66
  6. Step 6: Final answer
    x = 159.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.