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Finding the Fourth Proportional to 292.10, 437.81 and 227.57

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Solution

The fourth proportional to 292.10, 437.81 and 227.57 is: 341.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.10 : 437.81 = 227.57 : x
  2. Step 2: Convert to fraction form
    292.10/437.81 = 227.57/x
  3. Step 3: Cross multiply
    292.10x = 437.81 × 227.57
  4. Step 4: Simplify right side
    292.10x = 99,629.09
  5. Step 5: Solve for x
    x = 99,629.09/292.10
  6. Step 6: Final answer
    x = 341.08

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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.