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Finding the Fourth Proportional to 315.19, 472.88 and 152.89

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Solution

The fourth proportional to 315.19, 472.88 and 152.89 is: 229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.19 : 472.88 = 152.89 : x
  2. Step 2: Convert to fraction form
    315.19/472.88 = 152.89/x
  3. Step 3: Cross multiply
    315.19x = 472.88 × 152.89
  4. Step 4: Simplify right side
    315.19x = 72,298.62
  5. Step 5: Solve for x
    x = 72,298.62/315.19
  6. Step 6: Final answer
    x = 229.38

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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.