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Finding the Fourth Proportional to 177.38, 266.35 and 170.50

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Solution

The fourth proportional to 177.38, 266.35 and 170.50 is: 256.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.38 : 266.35 = 170.50 : x
  2. Step 2: Convert to fraction form
    177.38/266.35 = 170.50/x
  3. Step 3: Cross multiply
    177.38x = 266.35 × 170.50
  4. Step 4: Simplify right side
    177.38x = 45,412.68
  5. Step 5: Solve for x
    x = 45,412.68/177.38
  6. Step 6: Final answer
    x = 256.02

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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.