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Finding the Fourth Proportional to 153.19, 230.80 and 139.31

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Solution

The fourth proportional to 153.19, 230.80 and 139.31 is: 209.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.19 : 230.80 = 139.31 : x
  2. Step 2: Convert to fraction form
    153.19/230.80 = 139.31/x
  3. Step 3: Cross multiply
    153.19x = 230.80 × 139.31
  4. Step 4: Simplify right side
    153.19x = 32,152.75
  5. Step 5: Solve for x
    x = 32,152.75/153.19
  6. Step 6: Final answer
    x = 209.89

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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.