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Finding the Fourth Proportional to 243.32, 364.97 and 147.08

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Solution

The fourth proportional to 243.32, 364.97 and 147.08 is: 220.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.32 : 364.97 = 147.08 : x
  2. Step 2: Convert to fraction form
    243.32/364.97 = 147.08/x
  3. Step 3: Cross multiply
    243.32x = 364.97 × 147.08
  4. Step 4: Simplify right side
    243.32x = 53,678.33
  5. Step 5: Solve for x
    x = 53,678.33/243.32
  6. Step 6: Final answer
    x = 220.61

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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.