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Finding the Fourth Proportional to 283.84, 392 and 228.96

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Solution

The fourth proportional to 283.84, 392 and 228.96 is: 316.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.84 : 392 = 228.96 : x
  2. Step 2: Convert to fraction form
    283.84/392 = 228.96/x
  3. Step 3: Cross multiply
    283.84x = 392 × 228.96
  4. Step 4: Simplify right side
    283.84x = 89,752.32
  5. Step 5: Solve for x
    x = 89,752.32/283.84
  6. Step 6: Final answer
    x = 316.21

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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.