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Finding the Fourth Proportional to 179.07, 247.23 and 146.40

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Solution

The fourth proportional to 179.07, 247.23 and 146.40 is: 202.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.07 : 247.23 = 146.40 : x
  2. Step 2: Convert to fraction form
    179.07/247.23 = 146.40/x
  3. Step 3: Cross multiply
    179.07x = 247.23 × 146.40
  4. Step 4: Simplify right side
    179.07x = 36,194.47
  5. Step 5: Solve for x
    x = 36,194.47/179.07
  6. Step 6: Final answer
    x = 202.12

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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.