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Finding the Fourth Proportional to 292.82, 438.64 and 162.61

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Solution

The fourth proportional to 292.82, 438.64 and 162.61 is: 243.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.82 : 438.64 = 162.61 : x
  2. Step 2: Convert to fraction form
    292.82/438.64 = 162.61/x
  3. Step 3: Cross multiply
    292.82x = 438.64 × 162.61
  4. Step 4: Simplify right side
    292.82x = 71,326.20
  5. Step 5: Solve for x
    x = 71,326.20/292.82
  6. Step 6: Final answer
    x = 243.59

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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.