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Finding the Fourth Proportional to 283.65, 425.49 and 101.06

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Solution

The fourth proportional to 283.65, 425.49 and 101.06 is: 151.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.65 : 425.49 = 101.06 : x
  2. Step 2: Convert to fraction form
    283.65/425.49 = 101.06/x
  3. Step 3: Cross multiply
    283.65x = 425.49 × 101.06
  4. Step 4: Simplify right side
    283.65x = 43,000.02
  5. Step 5: Solve for x
    x = 43,000.02/283.65
  6. Step 6: Final answer
    x = 151.60

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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.