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Finding the Fourth Proportional to 235.68, 353.52 and 214.08

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Solution

The fourth proportional to 235.68, 353.52 and 214.08 is: 321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.68 : 353.52 = 214.08 : x
  2. Step 2: Convert to fraction form
    235.68/353.52 = 214.08/x
  3. Step 3: Cross multiply
    235.68x = 353.52 × 214.08
  4. Step 4: Simplify right side
    235.68x = 75,681.56
  5. Step 5: Solve for x
    x = 75,681.56/235.68
  6. Step 6: Final answer
    x = 321.12

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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.