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Finding the Fourth Proportional to 284.10, 392.06 and 159.75

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Solution

The fourth proportional to 284.10, 392.06 and 159.75 is: 220.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.10 : 392.06 = 159.75 : x
  2. Step 2: Convert to fraction form
    284.10/392.06 = 159.75/x
  3. Step 3: Cross multiply
    284.10x = 392.06 × 159.75
  4. Step 4: Simplify right side
    284.10x = 62,631.59
  5. Step 5: Solve for x
    x = 62,631.59/284.10
  6. Step 6: Final answer
    x = 220.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.