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Finding the Fourth Proportional to 144.74, 215.60 and 141.50

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Solution

The fourth proportional to 144.74, 215.60 and 141.50 is: 210.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.74 : 215.60 = 141.50 : x
  2. Step 2: Convert to fraction form
    144.74/215.60 = 141.50/x
  3. Step 3: Cross multiply
    144.74x = 215.60 × 141.50
  4. Step 4: Simplify right side
    144.74x = 30,507.40
  5. Step 5: Solve for x
    x = 30,507.40/144.74
  6. Step 6: Final answer
    x = 210.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.