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Finding the Fourth Proportional to 177.70, 266.16 and 170.14

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Solution

The fourth proportional to 177.70, 266.16 and 170.14 is: 254.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.70 : 266.16 = 170.14 : x
  2. Step 2: Convert to fraction form
    177.70/266.16 = 170.14/x
  3. Step 3: Cross multiply
    177.70x = 266.16 × 170.14
  4. Step 4: Simplify right side
    177.70x = 45,284.46
  5. Step 5: Solve for x
    x = 45,284.46/177.70
  6. Step 6: Final answer
    x = 254.84

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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.