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Finding the Fourth Proportional to 177.93, 266.91 and 49.68

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Solution

The fourth proportional to 177.93, 266.91 and 49.68 is: 74.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.93 : 266.91 = 49.68 : x
  2. Step 2: Convert to fraction form
    177.93/266.91 = 49.68/x
  3. Step 3: Cross multiply
    177.93x = 266.91 × 49.68
  4. Step 4: Simplify right side
    177.93x = 13,260.09
  5. Step 5: Solve for x
    x = 13,260.09/177.93
  6. Step 6: Final answer
    x = 74.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.