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Finding the Fourth Proportional to 312.68, 468.70 and 117.65

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Solution

The fourth proportional to 312.68, 468.70 and 117.65 is: 176.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.68 : 468.70 = 117.65 : x
  2. Step 2: Convert to fraction form
    312.68/468.70 = 117.65/x
  3. Step 3: Cross multiply
    312.68x = 468.70 × 117.65
  4. Step 4: Simplify right side
    312.68x = 55,139.92
  5. Step 5: Solve for x
    x = 55,139.92/312.68
  6. Step 6: Final answer
    x = 176.35

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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.