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Finding the Fourth Proportional to 176.86, 264.70 and 133.42

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Solution

The fourth proportional to 176.86, 264.70 and 133.42 is: 199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.86 : 264.70 = 133.42 : x
  2. Step 2: Convert to fraction form
    176.86/264.70 = 133.42/x
  3. Step 3: Cross multiply
    176.86x = 264.70 × 133.42
  4. Step 4: Simplify right side
    176.86x = 35,316.74
  5. Step 5: Solve for x
    x = 35,316.74/176.86
  6. Step 6: Final answer
    x = 199.68

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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.