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Finding the Fourth Proportional to 284.10, 392.25 and 186.02

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Solution

The fourth proportional to 284.10, 392.25 and 186.02 is: 256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.10 : 392.25 = 186.02 : x
  2. Step 2: Convert to fraction form
    284.10/392.25 = 186.02/x
  3. Step 3: Cross multiply
    284.10x = 392.25 × 186.02
  4. Step 4: Simplify right side
    284.10x = 72,966.35
  5. Step 5: Solve for x
    x = 72,966.35/284.10
  6. Step 6: Final answer
    x = 256.83

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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.