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Finding the Fourth Proportional to 150.40, 206.64 and 121.20

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Solution

The fourth proportional to 150.40, 206.64 and 121.20 is: 166.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.40 : 206.64 = 121.20 : x
  2. Step 2: Convert to fraction form
    150.40/206.64 = 121.20/x
  3. Step 3: Cross multiply
    150.40x = 206.64 × 121.20
  4. Step 4: Simplify right side
    150.40x = 25,044.77
  5. Step 5: Solve for x
    x = 25,044.77/150.40
  6. Step 6: Final answer
    x = 166.52

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.