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Finding the Fourth Proportional to 284.36, 426.02 and 147.06

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Solution

The fourth proportional to 284.36, 426.02 and 147.06 is: 220.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.36 : 426.02 = 147.06 : x
  2. Step 2: Convert to fraction form
    284.36/426.02 = 147.06/x
  3. Step 3: Cross multiply
    284.36x = 426.02 × 147.06
  4. Step 4: Simplify right side
    284.36x = 62,649.77
  5. Step 5: Solve for x
    x = 62,649.77/284.36
  6. Step 6: Final answer
    x = 220.32

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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.