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Finding the Fourth Proportional to 150.00, 207.06 and 106.26

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Solution

The fourth proportional to 150.00, 207.06 and 106.26 is: 146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.00 : 207.06 = 106.26 : x
  2. Step 2: Convert to fraction form
    150.00/207.06 = 106.26/x
  3. Step 3: Cross multiply
    150.00x = 207.06 × 106.26
  4. Step 4: Simplify right side
    150.00x = 22,002.19
  5. Step 5: Solve for x
    x = 22,002.19/150.00
  6. Step 6: Final answer
    x = 146.68

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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.