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Finding the Fourth Proportional to 284.45, 392.54 and 172.45

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Solution

The fourth proportional to 284.45, 392.54 and 172.45 is: 237.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.45 : 392.54 = 172.45 : x
  2. Step 2: Convert to fraction form
    284.45/392.54 = 172.45/x
  3. Step 3: Cross multiply
    284.45x = 392.54 × 172.45
  4. Step 4: Simplify right side
    284.45x = 67,690.70
  5. Step 5: Solve for x
    x = 67,690.70/284.45
  6. Step 6: Final answer
    x = 237.97

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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.