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Finding the Fourth Proportional to 497.42, 746.18 and 189.20

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Solution

The fourth proportional to 497.42, 746.18 and 189.20 is: 283.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.42 : 746.18 = 189.20 : x
  2. Step 2: Convert to fraction form
    497.42/746.18 = 189.20/x
  3. Step 3: Cross multiply
    497.42x = 746.18 × 189.20
  4. Step 4: Simplify right side
    497.42x = 141,177.26
  5. Step 5: Solve for x
    x = 141,177.26/497.42
  6. Step 6: Final answer
    x = 283.82

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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.