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Finding the Fourth Proportional to 401.51, 602.24 and 123.86

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Solution

The fourth proportional to 401.51, 602.24 and 123.86 is: 185.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.51 : 602.24 = 123.86 : x
  2. Step 2: Convert to fraction form
    401.51/602.24 = 123.86/x
  3. Step 3: Cross multiply
    401.51x = 602.24 × 123.86
  4. Step 4: Simplify right side
    401.51x = 74,593.45
  5. Step 5: Solve for x
    x = 74,593.45/401.51
  6. Step 6: Final answer
    x = 185.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.