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Finding the Fourth Proportional to 235.69, 353.35 and 120.01

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Solution

The fourth proportional to 235.69, 353.35 and 120.01 is: 179.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.69 : 353.35 = 120.01 : x
  2. Step 2: Convert to fraction form
    235.69/353.35 = 120.01/x
  3. Step 3: Cross multiply
    235.69x = 353.35 × 120.01
  4. Step 4: Simplify right side
    235.69x = 42,405.53
  5. Step 5: Solve for x
    x = 42,405.53/235.69
  6. Step 6: Final answer
    x = 179.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.