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Finding the Fourth Proportional to 177.10, 266.66 and 166.30

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Solution

The fourth proportional to 177.10, 266.66 and 166.30 is: 250.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.10 : 266.66 = 166.30 : x
  2. Step 2: Convert to fraction form
    177.10/266.66 = 166.30/x
  3. Step 3: Cross multiply
    177.10x = 266.66 × 166.30
  4. Step 4: Simplify right side
    177.10x = 44,345.56
  5. Step 5: Solve for x
    x = 44,345.56/177.10
  6. Step 6: Final answer
    x = 250.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.