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Finding the Fourth Proportional to 184.93, 275.77 and 159.42

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Solution

The fourth proportional to 184.93, 275.77 and 159.42 is: 237.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.93 : 275.77 = 159.42 : x
  2. Step 2: Convert to fraction form
    184.93/275.77 = 159.42/x
  3. Step 3: Cross multiply
    184.93x = 275.77 × 159.42
  4. Step 4: Simplify right side
    184.93x = 43,962.26
  5. Step 5: Solve for x
    x = 43,962.26/184.93
  6. Step 6: Final answer
    x = 237.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.