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Finding the Fourth Proportional to 494.14, 741.34 and 186.02

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Solution

The fourth proportional to 494.14, 741.34 and 186.02 is: 279.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.14 : 741.34 = 186.02 : x
  2. Step 2: Convert to fraction form
    494.14/741.34 = 186.02/x
  3. Step 3: Cross multiply
    494.14x = 741.34 × 186.02
  4. Step 4: Simplify right side
    494.14x = 137,904.07
  5. Step 5: Solve for x
    x = 137,904.07/494.14
  6. Step 6: Final answer
    x = 279.08

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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.