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Finding the Fourth Proportional to 231.53, 319.54 and 176.17

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Solution

The fourth proportional to 231.53, 319.54 and 176.17 is: 243.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.53 : 319.54 = 176.17 : x
  2. Step 2: Convert to fraction form
    231.53/319.54 = 176.17/x
  3. Step 3: Cross multiply
    231.53x = 319.54 × 176.17
  4. Step 4: Simplify right side
    231.53x = 56,293.36
  5. Step 5: Solve for x
    x = 56,293.36/231.53
  6. Step 6: Final answer
    x = 243.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.