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Finding the Fourth Proportional to 494.31, 741.57 and 186.16

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Solution

The fourth proportional to 494.31, 741.57 and 186.16 is: 279.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.31 : 741.57 = 186.16 : x
  2. Step 2: Convert to fraction form
    494.31/741.57 = 186.16/x
  3. Step 3: Cross multiply
    494.31x = 741.57 × 186.16
  4. Step 4: Simplify right side
    494.31x = 138,050.67
  5. Step 5: Solve for x
    x = 138,050.67/494.31
  6. Step 6: Final answer
    x = 279.28

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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.