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Finding the Fourth Proportional to 294.23, 405.98 and 182.08

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Solution

The fourth proportional to 294.23, 405.98 and 182.08 is: 251.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.23 : 405.98 = 182.08 : x
  2. Step 2: Convert to fraction form
    294.23/405.98 = 182.08/x
  3. Step 3: Cross multiply
    294.23x = 405.98 × 182.08
  4. Step 4: Simplify right side
    294.23x = 73,921.12
  5. Step 5: Solve for x
    x = 73,921.12/294.23
  6. Step 6: Final answer
    x = 251.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.