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Finding the Fourth Proportional to 401.47, 601.77 and 157.82

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Solution

The fourth proportional to 401.47, 601.77 and 157.82 is: 236.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.47 : 601.77 = 157.82 : x
  2. Step 2: Convert to fraction form
    401.47/601.77 = 157.82/x
  3. Step 3: Cross multiply
    401.47x = 601.77 × 157.82
  4. Step 4: Simplify right side
    401.47x = 94,972.85
  5. Step 5: Solve for x
    x = 94,972.85/401.47
  6. Step 6: Final answer
    x = 236.56

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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.