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Finding the Fourth Proportional to 144.58, 215.60 and 138.94

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Solution

The fourth proportional to 144.58, 215.60 and 138.94 is: 207.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.58 : 215.60 = 138.94 : x
  2. Step 2: Convert to fraction form
    144.58/215.60 = 138.94/x
  3. Step 3: Cross multiply
    144.58x = 215.60 × 138.94
  4. Step 4: Simplify right side
    144.58x = 29,955.46
  5. Step 5: Solve for x
    x = 29,955.46/144.58
  6. Step 6: Final answer
    x = 207.19

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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.