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Finding the Fourth Proportional to 235.69, 353.53 and 64.69

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Solution

The fourth proportional to 235.69, 353.53 and 64.69 is: 97.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.69 : 353.53 = 64.69 : x
  2. Step 2: Convert to fraction form
    235.69/353.53 = 64.69/x
  3. Step 3: Cross multiply
    235.69x = 353.53 × 64.69
  4. Step 4: Simplify right side
    235.69x = 22,869.05
  5. Step 5: Solve for x
    x = 22,869.05/235.69
  6. Step 6: Final answer
    x = 97.03

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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.