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Finding the Fourth Proportional to 495.35, 742.94 and 130.14

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Solution

The fourth proportional to 495.35, 742.94 and 130.14 is: 195.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.35 : 742.94 = 130.14 : x
  2. Step 2: Convert to fraction form
    495.35/742.94 = 130.14/x
  3. Step 3: Cross multiply
    495.35x = 742.94 × 130.14
  4. Step 4: Simplify right side
    495.35x = 96,686.05
  5. Step 5: Solve for x
    x = 96,686.05/495.35
  6. Step 6: Final answer
    x = 195.19

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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.