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Finding the Fourth Proportional to 292.17, 437.30 and 215.10

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Solution

The fourth proportional to 292.17, 437.30 and 215.10 is: 321.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.17 : 437.30 = 215.10 : x
  2. Step 2: Convert to fraction form
    292.17/437.30 = 215.10/x
  3. Step 3: Cross multiply
    292.17x = 437.30 × 215.10
  4. Step 4: Simplify right side
    292.17x = 94,064.86
  5. Step 5: Solve for x
    x = 94,064.86/292.17
  6. Step 6: Final answer
    x = 321.95

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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.