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Finding the Fourth Proportional to 284.32, 392.08 and 185.92

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Solution

The fourth proportional to 284.32, 392.08 and 185.92 is: 256.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.32 : 392.08 = 185.92 : x
  2. Step 2: Convert to fraction form
    284.32/392.08 = 185.92/x
  3. Step 3: Cross multiply
    284.32x = 392.08 × 185.92
  4. Step 4: Simplify right side
    284.32x = 72,895.51
  5. Step 5: Solve for x
    x = 72,895.51/284.32
  6. Step 6: Final answer
    x = 256.39

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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.