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Finding the Fourth Proportional to 179.16, 247.71 and 158.64

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Solution

The fourth proportional to 179.16, 247.71 and 158.64 is: 219.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.16 : 247.71 = 158.64 : x
  2. Step 2: Convert to fraction form
    179.16/247.71 = 158.64/x
  3. Step 3: Cross multiply
    179.16x = 247.71 × 158.64
  4. Step 4: Simplify right side
    179.16x = 39,296.71
  5. Step 5: Solve for x
    x = 39,296.71/179.16
  6. Step 6: Final answer
    x = 219.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.