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Finding the Fourth Proportional to 228.90, 315.11 and 205.58

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Solution

The fourth proportional to 228.90, 315.11 and 205.58 is: 283.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.90 : 315.11 = 205.58 : x
  2. Step 2: Convert to fraction form
    228.90/315.11 = 205.58/x
  3. Step 3: Cross multiply
    228.90x = 315.11 × 205.58
  4. Step 4: Simplify right side
    228.90x = 64,777.71
  5. Step 5: Solve for x
    x = 64,777.71/228.90
  6. Step 6: Final answer
    x = 283.00

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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.