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Finding the Fourth Proportional to 284.57, 392.64 and 172.52

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Solution

The fourth proportional to 284.57, 392.64 and 172.52 is: 238.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.57 : 392.64 = 172.52 : x
  2. Step 2: Convert to fraction form
    284.57/392.64 = 172.52/x
  3. Step 3: Cross multiply
    284.57x = 392.64 × 172.52
  4. Step 4: Simplify right side
    284.57x = 67,736.29
  5. Step 5: Solve for x
    x = 67,736.29/284.57
  6. Step 6: Final answer
    x = 238.03

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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.