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Finding the Fourth Proportional to 146.77, 220.15 and 135.34

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Solution

The fourth proportional to 146.77, 220.15 and 135.34 is: 203.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.77 : 220.15 = 135.34 : x
  2. Step 2: Convert to fraction form
    146.77/220.15 = 135.34/x
  3. Step 3: Cross multiply
    146.77x = 220.15 × 135.34
  4. Step 4: Simplify right side
    146.77x = 29,795.10
  5. Step 5: Solve for x
    x = 29,795.10/146.77
  6. Step 6: Final answer
    x = 203.01

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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.