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Finding the Fourth Proportional to 174.98, 262.51 and 66.85

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Solution

The fourth proportional to 174.98, 262.51 and 66.85 is: 100.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.98 : 262.51 = 66.85 : x
  2. Step 2: Convert to fraction form
    174.98/262.51 = 66.85/x
  3. Step 3: Cross multiply
    174.98x = 262.51 × 66.85
  4. Step 4: Simplify right side
    174.98x = 17,547.97
  5. Step 5: Solve for x
    x = 17,547.97/174.98
  6. Step 6: Final answer
    x = 100.28

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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.