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Finding the Fourth Proportional to 228.19, 314.78 and 149.48

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Solution

The fourth proportional to 228.19, 314.78 and 149.48 is: 206.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.19 : 314.78 = 149.48 : x
  2. Step 2: Convert to fraction form
    228.19/314.78 = 149.48/x
  3. Step 3: Cross multiply
    228.19x = 314.78 × 149.48
  4. Step 4: Simplify right side
    228.19x = 47,053.31
  5. Step 5: Solve for x
    x = 47,053.31/228.19
  6. Step 6: Final answer
    x = 206.21

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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.