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Finding the Fourth Proportional to 177.08, 264.14 and 174.38

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Solution

The fourth proportional to 177.08, 264.14 and 174.38 is: 260.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.08 : 264.14 = 174.38 : x
  2. Step 2: Convert to fraction form
    177.08/264.14 = 174.38/x
  3. Step 3: Cross multiply
    177.08x = 264.14 × 174.38
  4. Step 4: Simplify right side
    177.08x = 46,060.73
  5. Step 5: Solve for x
    x = 46,060.73/177.08
  6. Step 6: Final answer
    x = 260.11

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