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Finding the Fourth Proportional to 312.19, 468.14 and 106.71

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Solution

The fourth proportional to 312.19, 468.14 and 106.71 is: 160.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.19 : 468.14 = 106.71 : x
  2. Step 2: Convert to fraction form
    312.19/468.14 = 106.71/x
  3. Step 3: Cross multiply
    312.19x = 468.14 × 106.71
  4. Step 4: Simplify right side
    312.19x = 49,955.22
  5. Step 5: Solve for x
    x = 49,955.22/312.19
  6. Step 6: Final answer
    x = 160.02

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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.