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Finding the Fourth Proportional to 178.16, 246.06 and 123.12

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Solution

The fourth proportional to 178.16, 246.06 and 123.12 is: 170.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.16 : 246.06 = 123.12 : x
  2. Step 2: Convert to fraction form
    178.16/246.06 = 123.12/x
  3. Step 3: Cross multiply
    178.16x = 246.06 × 123.12
  4. Step 4: Simplify right side
    178.16x = 30,294.91
  5. Step 5: Solve for x
    x = 30,294.91/178.16
  6. Step 6: Final answer
    x = 170.05

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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.