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Finding the Fourth Proportional to 177.84, 266.80 and 68.16

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Solution

The fourth proportional to 177.84, 266.80 and 68.16 is: 102.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.84 : 266.80 = 68.16 : x
  2. Step 2: Convert to fraction form
    177.84/266.80 = 68.16/x
  3. Step 3: Cross multiply
    177.84x = 266.80 × 68.16
  4. Step 4: Simplify right side
    177.84x = 18,184.49
  5. Step 5: Solve for x
    x = 18,184.49/177.84
  6. Step 6: Final answer
    x = 102.25

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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.