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Finding the Fourth Proportional to 185.31, 277.65 and 158.13

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Solution

The fourth proportional to 185.31, 277.65 and 158.13 is: 236.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.31 : 277.65 = 158.13 : x
  2. Step 2: Convert to fraction form
    185.31/277.65 = 158.13/x
  3. Step 3: Cross multiply
    185.31x = 277.65 × 158.13
  4. Step 4: Simplify right side
    185.31x = 43,904.79
  5. Step 5: Solve for x
    x = 43,904.79/185.31
  6. Step 6: Final answer
    x = 236.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.