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Finding the Fourth Proportional to 284.29, 426.50 and 101.67

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Solution

The fourth proportional to 284.29, 426.50 and 101.67 is: 152.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.29 : 426.50 = 101.67 : x
  2. Step 2: Convert to fraction form
    284.29/426.50 = 101.67/x
  3. Step 3: Cross multiply
    284.29x = 426.50 × 101.67
  4. Step 4: Simplify right side
    284.29x = 43,362.26
  5. Step 5: Solve for x
    x = 43,362.26/284.29
  6. Step 6: Final answer
    x = 152.53

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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.