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Finding the Fourth Proportional to 179.47, 248.71 and 176.23

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Solution

The fourth proportional to 179.47, 248.71 and 176.23 is: 244.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.47 : 248.71 = 176.23 : x
  2. Step 2: Convert to fraction form
    179.47/248.71 = 176.23/x
  3. Step 3: Cross multiply
    179.47x = 248.71 × 176.23
  4. Step 4: Simplify right side
    179.47x = 43,830.16
  5. Step 5: Solve for x
    x = 43,830.16/179.47
  6. Step 6: Final answer
    x = 244.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.