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Finding the Fourth Proportional to 150.60, 207.78 and 117.63

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Solution

The fourth proportional to 150.60, 207.78 and 117.63 is: 162.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.60 : 207.78 = 117.63 : x
  2. Step 2: Convert to fraction form
    150.60/207.78 = 117.63/x
  3. Step 3: Cross multiply
    150.60x = 207.78 × 117.63
  4. Step 4: Simplify right side
    150.60x = 24,441.16
  5. Step 5: Solve for x
    x = 24,441.16/150.60
  6. Step 6: Final answer
    x = 162.29

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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.