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Finding the Fourth Proportional to 228, 314.73 and 150.42

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Solution

The fourth proportional to 228, 314.73 and 150.42 is: 207.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    228 : 314.73 = 150.42 : x
  2. Step 2: Convert to fraction form
    228/314.73 = 150.42/x
  3. Step 3: Cross multiply
    228x = 314.73 × 150.42
  4. Step 4: Simplify right side
    228x = 47,341.69
  5. Step 5: Solve for x
    x = 47,341.69/228
  6. Step 6: Final answer
    x = 207.64

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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.