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Finding the Fourth Proportional to 146.21, 219.14 and 65.00

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Solution

The fourth proportional to 146.21, 219.14 and 65.00 is: 97.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.21 : 219.14 = 65.00 : x
  2. Step 2: Convert to fraction form
    146.21/219.14 = 65.00/x
  3. Step 3: Cross multiply
    146.21x = 219.14 × 65.00
  4. Step 4: Simplify right side
    146.21x = 14,242.68
  5. Step 5: Solve for x
    x = 14,242.68/146.21
  6. Step 6: Final answer
    x = 97.42

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Why These Related Problems?

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