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Finding the Fourth Proportional to 312.32, 467.84 and 160

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Solution

The fourth proportional to 312.32, 467.84 and 160 is: 239.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.32 : 467.84 = 160 : x
  2. Step 2: Convert to fraction form
    312.32/467.84 = 160/x
  3. Step 3: Cross multiply
    312.32x = 467.84 × 160
  4. Step 4: Simplify right side
    312.32x = 74,854.40
  5. Step 5: Solve for x
    x = 74,854.40/312.32
  6. Step 6: Final answer
    x = 239.67

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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.