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Finding the Fourth Proportional to 150.03, 206.64 and 106.29

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Solution

The fourth proportional to 150.03, 206.64 and 106.29 is: 146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.03 : 206.64 = 106.29 : x
  2. Step 2: Convert to fraction form
    150.03/206.64 = 106.29/x
  3. Step 3: Cross multiply
    150.03x = 206.64 × 106.29
  4. Step 4: Simplify right side
    150.03x = 21,963.77
  5. Step 5: Solve for x
    x = 21,963.77/150.03
  6. Step 6: Final answer
    x = 146.40

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