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Finding the Fourth Proportional to 248.97, 373.47 and 75.65

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Solution

The fourth proportional to 248.97, 373.47 and 75.65 is: 113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.97 : 373.47 = 75.65 : x
  2. Step 2: Convert to fraction form
    248.97/373.47 = 75.65/x
  3. Step 3: Cross multiply
    248.97x = 373.47 × 75.65
  4. Step 4: Simplify right side
    248.97x = 28,253.01
  5. Step 5: Solve for x
    x = 28,253.01/248.97
  6. Step 6: Final answer
    x = 113.48

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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.