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Finding the Fourth Proportional to 292.27, 438.05 and 205.12

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Solution

The fourth proportional to 292.27, 438.05 and 205.12 is: 307.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.27 : 438.05 = 205.12 : x
  2. Step 2: Convert to fraction form
    292.27/438.05 = 205.12/x
  3. Step 3: Cross multiply
    292.27x = 438.05 × 205.12
  4. Step 4: Simplify right side
    292.27x = 89,852.82
  5. Step 5: Solve for x
    x = 89,852.82/292.27
  6. Step 6: Final answer
    x = 307.43

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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.