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Finding the Fourth Proportional to 231.71, 319.68 and 184.93

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Solution

The fourth proportional to 231.71, 319.68 and 184.93 is: 255.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.71 : 319.68 = 184.93 : x
  2. Step 2: Convert to fraction form
    231.71/319.68 = 184.93/x
  3. Step 3: Cross multiply
    231.71x = 319.68 × 184.93
  4. Step 4: Simplify right side
    231.71x = 59,117.62
  5. Step 5: Solve for x
    x = 59,117.62/231.71
  6. Step 6: Final answer
    x = 255.14

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Why These Related Problems?

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