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Finding the Fourth Proportional to 235.41, 353.13 and 73.10

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Solution

The fourth proportional to 235.41, 353.13 and 73.10 is: 109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.41 : 353.13 = 73.10 : x
  2. Step 2: Convert to fraction form
    235.41/353.13 = 73.10/x
  3. Step 3: Cross multiply
    235.41x = 353.13 × 73.10
  4. Step 4: Simplify right side
    235.41x = 25,814.41
  5. Step 5: Solve for x
    x = 25,814.41/235.41
  6. Step 6: Final answer
    x = 109.66

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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.