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Finding the Fourth Proportional to 177.11, 266.99 and 174.68

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Solution

The fourth proportional to 177.11, 266.99 and 174.68 is: 263.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.11 : 266.99 = 174.68 : x
  2. Step 2: Convert to fraction form
    177.11/266.99 = 174.68/x
  3. Step 3: Cross multiply
    177.11x = 266.99 × 174.68
  4. Step 4: Simplify right side
    177.11x = 46,635.60
  5. Step 5: Solve for x
    x = 46,635.60/177.11
  6. Step 6: Final answer
    x = 263.32

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