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Finding the Fourth Proportional to 292.74, 438.97 and 206.63

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Solution

The fourth proportional to 292.74, 438.97 and 206.63 is: 309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.74 : 438.97 = 206.63 : x
  2. Step 2: Convert to fraction form
    292.74/438.97 = 206.63/x
  3. Step 3: Cross multiply
    292.74x = 438.97 × 206.63
  4. Step 4: Simplify right side
    292.74x = 90,702.46
  5. Step 5: Solve for x
    x = 90,702.46/292.74
  6. Step 6: Final answer
    x = 309.84

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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.