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Finding the Fourth Proportional to 146.48, 218.04 and 144.32

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Solution

The fourth proportional to 146.48, 218.04 and 144.32 is: 214.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.48 : 218.04 = 144.32 : x
  2. Step 2: Convert to fraction form
    146.48/218.04 = 144.32/x
  3. Step 3: Cross multiply
    146.48x = 218.04 × 144.32
  4. Step 4: Simplify right side
    146.48x = 31,467.53
  5. Step 5: Solve for x
    x = 31,467.53/146.48
  6. Step 6: Final answer
    x = 214.82

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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.