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Finding the Fourth Proportional to 285.20, 427.75 and 79.79

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Solution

The fourth proportional to 285.20, 427.75 and 79.79 is: 119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.20 : 427.75 = 79.79 : x
  2. Step 2: Convert to fraction form
    285.20/427.75 = 79.79/x
  3. Step 3: Cross multiply
    285.20x = 427.75 × 79.79
  4. Step 4: Simplify right side
    285.20x = 34,127.83
  5. Step 5: Solve for x
    x = 34,127.83/285.20
  6. Step 6: Final answer
    x = 119.66

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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.