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Finding the Fourth Proportional to 178.50, 246.36 and 109.50

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Solution

The fourth proportional to 178.50, 246.36 and 109.50 is: 151.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.50 : 246.36 = 109.50 : x
  2. Step 2: Convert to fraction form
    178.50/246.36 = 109.50/x
  3. Step 3: Cross multiply
    178.50x = 246.36 × 109.50
  4. Step 4: Simplify right side
    178.50x = 26,976.42
  5. Step 5: Solve for x
    x = 26,976.42/178.50
  6. Step 6: Final answer
    x = 151.13

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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.