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Finding the Fourth Proportional to 150.45, 207.66 and 117.78

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Solution

The fourth proportional to 150.45, 207.66 and 117.78 is: 162.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.45 : 207.66 = 117.78 : x
  2. Step 2: Convert to fraction form
    150.45/207.66 = 117.78/x
  3. Step 3: Cross multiply
    150.45x = 207.66 × 117.78
  4. Step 4: Simplify right side
    150.45x = 24,458.19
  5. Step 5: Solve for x
    x = 24,458.19/150.45
  6. Step 6: Final answer
    x = 162.57

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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.