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Finding the Fourth Proportional to 143.98, 215.80 and 118.35

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Solution

The fourth proportional to 143.98, 215.80 and 118.35 is: 177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.98 : 215.80 = 118.35 : x
  2. Step 2: Convert to fraction form
    143.98/215.80 = 118.35/x
  3. Step 3: Cross multiply
    143.98x = 215.80 × 118.35
  4. Step 4: Simplify right side
    143.98x = 25,539.63
  5. Step 5: Solve for x
    x = 25,539.63/143.98
  6. Step 6: Final answer
    x = 177.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.