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Finding the Fourth Proportional to 228.04, 314.56 and 149.24

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Solution

The fourth proportional to 228.04, 314.56 and 149.24 is: 205.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.04 : 314.56 = 149.24 : x
  2. Step 2: Convert to fraction form
    228.04/314.56 = 149.24/x
  3. Step 3: Cross multiply
    228.04x = 314.56 × 149.24
  4. Step 4: Simplify right side
    228.04x = 46,945.49
  5. Step 5: Solve for x
    x = 46,945.49/228.04
  6. Step 6: Final answer
    x = 205.86

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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.