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Finding the Fourth Proportional to 494.64, 741.81 and 186.60

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Solution

The fourth proportional to 494.64, 741.81 and 186.60 is: 279.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.64 : 741.81 = 186.60 : x
  2. Step 2: Convert to fraction form
    494.64/741.81 = 186.60/x
  3. Step 3: Cross multiply
    494.64x = 741.81 × 186.60
  4. Step 4: Simplify right side
    494.64x = 138,421.75
  5. Step 5: Solve for x
    x = 138,421.75/494.64
  6. Step 6: Final answer
    x = 279.84

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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.