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Finding the Fourth Proportional to 240.98, 359 and 229.37

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Solution

The fourth proportional to 240.98, 359 and 229.37 is: 341.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.98 : 359 = 229.37 : x
  2. Step 2: Convert to fraction form
    240.98/359 = 229.37/x
  3. Step 3: Cross multiply
    240.98x = 359 × 229.37
  4. Step 4: Simplify right side
    240.98x = 82,343.83
  5. Step 5: Solve for x
    x = 82,343.83/240.98
  6. Step 6: Final answer
    x = 341.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.