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Finding the Fourth Proportional to 235.61, 353.64 and 120.14

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Solution

The fourth proportional to 235.61, 353.64 and 120.14 is: 180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.61 : 353.64 = 120.14 : x
  2. Step 2: Convert to fraction form
    235.61/353.64 = 120.14/x
  3. Step 3: Cross multiply
    235.61x = 353.64 × 120.14
  4. Step 4: Simplify right side
    235.61x = 42,486.30
  5. Step 5: Solve for x
    x = 42,486.30/235.61
  6. Step 6: Final answer
    x = 180.32

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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.