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Finding the Fourth Proportional to 312.62, 468.88 and 117.61

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Solution

The fourth proportional to 312.62, 468.88 and 117.61 is: 176.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.62 : 468.88 = 117.61 : x
  2. Step 2: Convert to fraction form
    312.62/468.88 = 117.61/x
  3. Step 3: Cross multiply
    312.62x = 468.88 × 117.61
  4. Step 4: Simplify right side
    312.62x = 55,143.51
  5. Step 5: Solve for x
    x = 55,143.51/312.62
  6. Step 6: Final answer
    x = 176.39

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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.