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Finding the Fourth Proportional to 144.51, 215.61 and 135.75

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Solution

The fourth proportional to 144.51, 215.61 and 135.75 is: 202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.51 : 215.61 = 135.75 : x
  2. Step 2: Convert to fraction form
    144.51/215.61 = 135.75/x
  3. Step 3: Cross multiply
    144.51x = 215.61 × 135.75
  4. Step 4: Simplify right side
    144.51x = 29,269.06
  5. Step 5: Solve for x
    x = 29,269.06/144.51
  6. Step 6: Final answer
    x = 202.55

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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.