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Finding the Fourth Proportional to 151.06, 208.34 and 123.38

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Solution

The fourth proportional to 151.06, 208.34 and 123.38 is: 170.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.06 : 208.34 = 123.38 : x
  2. Step 2: Convert to fraction form
    151.06/208.34 = 123.38/x
  3. Step 3: Cross multiply
    151.06x = 208.34 × 123.38
  4. Step 4: Simplify right side
    151.06x = 25,705.20
  5. Step 5: Solve for x
    x = 25,705.20/151.06
  6. Step 6: Final answer
    x = 170.16

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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.