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Finding the Fourth Proportional to 176.42, 264.68 and 66.77

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Solution

The fourth proportional to 176.42, 264.68 and 66.77 is: 100.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.42 : 264.68 = 66.77 : x
  2. Step 2: Convert to fraction form
    176.42/264.68 = 66.77/x
  3. Step 3: Cross multiply
    176.42x = 264.68 × 66.77
  4. Step 4: Simplify right side
    176.42x = 17,671.03
  5. Step 5: Solve for x
    x = 17,671.03/176.42
  6. Step 6: Final answer
    x = 100.17

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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.