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Finding the Fourth Proportional to 292.06, 437.65 and 214.66

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Solution

The fourth proportional to 292.06, 437.65 and 214.66 is: 321.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.06 : 437.65 = 214.66 : x
  2. Step 2: Convert to fraction form
    292.06/437.65 = 214.66/x
  3. Step 3: Cross multiply
    292.06x = 437.65 × 214.66
  4. Step 4: Simplify right side
    292.06x = 93,945.94
  5. Step 5: Solve for x
    x = 93,945.94/292.06
  6. Step 6: Final answer
    x = 321.66

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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.