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Finding the Fourth Proportional to 167.54, 250.88 and 98.87

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Solution

The fourth proportional to 167.54, 250.88 and 98.87 is: 148.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.54 : 250.88 = 98.87 : x
  2. Step 2: Convert to fraction form
    167.54/250.88 = 98.87/x
  3. Step 3: Cross multiply
    167.54x = 250.88 × 98.87
  4. Step 4: Simplify right side
    167.54x = 24,802.76
  5. Step 5: Solve for x
    x = 24,802.76/167.54
  6. Step 6: Final answer
    x = 148.05

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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.