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Finding the Fourth Proportional to 150.96, 208.47 and 117.85

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Solution

The fourth proportional to 150.96, 208.47 and 117.85 is: 162.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.96 : 208.47 = 117.85 : x
  2. Step 2: Convert to fraction form
    150.96/208.47 = 117.85/x
  3. Step 3: Cross multiply
    150.96x = 208.47 × 117.85
  4. Step 4: Simplify right side
    150.96x = 24,567.60
  5. Step 5: Solve for x
    x = 24,567.60/150.96
  6. Step 6: Final answer
    x = 162.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.