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Finding the Fourth Proportional to 146.61, 219.24 and 144.45

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Solution

The fourth proportional to 146.61, 219.24 and 144.45 is: 216.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.61 : 219.24 = 144.45 : x
  2. Step 2: Convert to fraction form
    146.61/219.24 = 144.45/x
  3. Step 3: Cross multiply
    146.61x = 219.24 × 144.45
  4. Step 4: Simplify right side
    146.61x = 31,669.22
  5. Step 5: Solve for x
    x = 31,669.22/146.61
  6. Step 6: Final answer
    x = 216.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.