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Finding the Fourth Proportional to 177.65, 266.25 and 84.99

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Solution

The fourth proportional to 177.65, 266.25 and 84.99 is: 127.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.65 : 266.25 = 84.99 : x
  2. Step 2: Convert to fraction form
    177.65/266.25 = 84.99/x
  3. Step 3: Cross multiply
    177.65x = 266.25 × 84.99
  4. Step 4: Simplify right side
    177.65x = 22,628.59
  5. Step 5: Solve for x
    x = 22,628.59/177.65
  6. Step 6: Final answer
    x = 127.38

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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.