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Finding the Fourth Proportional to 177.90, 266.49 and 165.90

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Solution

The fourth proportional to 177.90, 266.49 and 165.90 is: 248.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.90 : 266.49 = 165.90 : x
  2. Step 2: Convert to fraction form
    177.90/266.49 = 165.90/x
  3. Step 3: Cross multiply
    177.90x = 266.49 × 165.90
  4. Step 4: Simplify right side
    177.90x = 44,210.69
  5. Step 5: Solve for x
    x = 44,210.69/177.90
  6. Step 6: Final answer
    x = 248.51

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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.