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Finding the Fourth Proportional to 283.79, 425.53 and 101.04

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Solution

The fourth proportional to 283.79, 425.53 and 101.04 is: 151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.79 : 425.53 = 101.04 : x
  2. Step 2: Convert to fraction form
    283.79/425.53 = 101.04/x
  3. Step 3: Cross multiply
    283.79x = 425.53 × 101.04
  4. Step 4: Simplify right side
    283.79x = 42,995.55
  5. Step 5: Solve for x
    x = 42,995.55/283.79
  6. Step 6: Final answer
    x = 151.50

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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.