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Finding the Fourth Proportional to 177.35, 264.15 and 166.10

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Solution

The fourth proportional to 177.35, 264.15 and 166.10 is: 247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.35 : 264.15 = 166.10 : x
  2. Step 2: Convert to fraction form
    177.35/264.15 = 166.10/x
  3. Step 3: Cross multiply
    177.35x = 264.15 × 166.10
  4. Step 4: Simplify right side
    177.35x = 43,873.99
  5. Step 5: Solve for x
    x = 43,873.99/177.35
  6. Step 6: Final answer
    x = 247.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.