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Finding the Fourth Proportional to 292.62, 403.80 and 159.84

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Solution

The fourth proportional to 292.62, 403.80 and 159.84 is: 220.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.62 : 403.80 = 159.84 : x
  2. Step 2: Convert to fraction form
    292.62/403.80 = 159.84/x
  3. Step 3: Cross multiply
    292.62x = 403.80 × 159.84
  4. Step 4: Simplify right side
    292.62x = 64,543.39
  5. Step 5: Solve for x
    x = 64,543.39/292.62
  6. Step 6: Final answer
    x = 220.57

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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.