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Finding the Fourth Proportional to 301.86, 416.88 and 244.08

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Solution

The fourth proportional to 301.86, 416.88 and 244.08 is: 337.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.86 : 416.88 = 244.08 : x
  2. Step 2: Convert to fraction form
    301.86/416.88 = 244.08/x
  3. Step 3: Cross multiply
    301.86x = 416.88 × 244.08
  4. Step 4: Simplify right side
    301.86x = 101,752.07
  5. Step 5: Solve for x
    x = 101,752.07/301.86
  6. Step 6: Final answer
    x = 337.08

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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.