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Finding the Fourth Proportional to 150.11, 223.98 and 139.64

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Solution

The fourth proportional to 150.11, 223.98 and 139.64 is: 208.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.11 : 223.98 = 139.64 : x
  2. Step 2: Convert to fraction form
    150.11/223.98 = 139.64/x
  3. Step 3: Cross multiply
    150.11x = 223.98 × 139.64
  4. Step 4: Simplify right side
    150.11x = 31,275.87
  5. Step 5: Solve for x
    x = 31,275.87/150.11
  6. Step 6: Final answer
    x = 208.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.