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Finding the Fourth Proportional to 133.47, 199.89 and 117.81

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Solution

The fourth proportional to 133.47, 199.89 and 117.81 is: 176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.47 : 199.89 = 117.81 : x
  2. Step 2: Convert to fraction form
    133.47/199.89 = 117.81/x
  3. Step 3: Cross multiply
    133.47x = 199.89 × 117.81
  4. Step 4: Simplify right side
    133.47x = 23,549.04
  5. Step 5: Solve for x
    x = 23,549.04/133.47
  6. Step 6: Final answer
    x = 176.44

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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.