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Finding the Fourth Proportional to 284.32, 392.16 and 197.04

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Solution

The fourth proportional to 284.32, 392.16 and 197.04 is: 271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.32 : 392.16 = 197.04 : x
  2. Step 2: Convert to fraction form
    284.32/392.16 = 197.04/x
  3. Step 3: Cross multiply
    284.32x = 392.16 × 197.04
  4. Step 4: Simplify right side
    284.32x = 77,271.21
  5. Step 5: Solve for x
    x = 77,271.21/284.32
  6. Step 6: Final answer
    x = 271.78

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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.