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Finding the Fourth Proportional to 285.10, 393.54 and 197.86

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Solution

The fourth proportional to 285.10, 393.54 and 197.86 is: 273.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.10 : 393.54 = 197.86 : x
  2. Step 2: Convert to fraction form
    285.10/393.54 = 197.86/x
  3. Step 3: Cross multiply
    285.10x = 393.54 × 197.86
  4. Step 4: Simplify right side
    285.10x = 77,865.82
  5. Step 5: Solve for x
    x = 77,865.82/285.10
  6. Step 6: Final answer
    x = 273.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.