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Finding the Fourth Proportional to 147.24, 219.33 and 144

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Solution

The fourth proportional to 147.24, 219.33 and 144 is: 214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.24 : 219.33 = 144 : x
  2. Step 2: Convert to fraction form
    147.24/219.33 = 144/x
  3. Step 3: Cross multiply
    147.24x = 219.33 × 144
  4. Step 4: Simplify right side
    147.24x = 31,583.52
  5. Step 5: Solve for x
    x = 31,583.52/147.24
  6. Step 6: Final answer
    x = 214.50

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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.