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Finding the Fourth Proportional to 315.62, 472.68 and 152.78

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Solution

The fourth proportional to 315.62, 472.68 and 152.78 is: 228.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.62 : 472.68 = 152.78 : x
  2. Step 2: Convert to fraction form
    315.62/472.68 = 152.78/x
  3. Step 3: Cross multiply
    315.62x = 472.68 × 152.78
  4. Step 4: Simplify right side
    315.62x = 72,216.05
  5. Step 5: Solve for x
    x = 72,216.05/315.62
  6. Step 6: Final answer
    x = 228.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.