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Finding the Fourth Proportional to 284.45, 392.85 and 248.00

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Solution

The fourth proportional to 284.45, 392.85 and 248.00 is: 342.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.45 : 392.85 = 248.00 : x
  2. Step 2: Convert to fraction form
    284.45/392.85 = 248.00/x
  3. Step 3: Cross multiply
    284.45x = 392.85 × 248.00
  4. Step 4: Simplify right side
    284.45x = 97,424.84
  5. Step 5: Solve for x
    x = 97,424.84/284.45
  6. Step 6: Final answer
    x = 342.51

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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.