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Finding the Fourth Proportional to 177.98, 266.70 and 109.58

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Solution

The fourth proportional to 177.98, 266.70 and 109.58 is: 164.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.98 : 266.70 = 109.58 : x
  2. Step 2: Convert to fraction form
    177.98/266.70 = 109.58/x
  3. Step 3: Cross multiply
    177.98x = 266.70 × 109.58
  4. Step 4: Simplify right side
    177.98x = 29,224.99
  5. Step 5: Solve for x
    x = 29,224.99/177.98
  6. Step 6: Final answer
    x = 164.20

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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.