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Finding the Fourth Proportional to 284.16, 392.10 and 159.84

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Solution

The fourth proportional to 284.16, 392.10 and 159.84 is: 220.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.16 : 392.10 = 159.84 : x
  2. Step 2: Convert to fraction form
    284.16/392.10 = 159.84/x
  3. Step 3: Cross multiply
    284.16x = 392.10 × 159.84
  4. Step 4: Simplify right side
    284.16x = 62,673.26
  5. Step 5: Solve for x
    x = 62,673.26/284.16
  6. Step 6: Final answer
    x = 220.56

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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.