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Finding the Fourth Proportional to 154.23, 232.14 and 139.32

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Solution

The fourth proportional to 154.23, 232.14 and 139.32 is: 209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.23 : 232.14 = 139.32 : x
  2. Step 2: Convert to fraction form
    154.23/232.14 = 139.32/x
  3. Step 3: Cross multiply
    154.23x = 232.14 × 139.32
  4. Step 4: Simplify right side
    154.23x = 32,341.74
  5. Step 5: Solve for x
    x = 32,341.74/154.23
  6. Step 6: Final answer
    x = 209.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.