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Finding the Fourth Proportional to 284.76, 392.36 and 225.98

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Solution

The fourth proportional to 284.76, 392.36 and 225.98 is: 311.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.76 : 392.36 = 225.98 : x
  2. Step 2: Convert to fraction form
    284.76/392.36 = 225.98/x
  3. Step 3: Cross multiply
    284.76x = 392.36 × 225.98
  4. Step 4: Simplify right side
    284.76x = 88,665.51
  5. Step 5: Solve for x
    x = 88,665.51/284.76
  6. Step 6: Final answer
    x = 311.37

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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.