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Finding the Fourth Proportional to 148.19, 203.02 and 146.77

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Solution

The fourth proportional to 148.19, 203.02 and 146.77 is: 201.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.19 : 203.02 = 146.77 : x
  2. Step 2: Convert to fraction form
    148.19/203.02 = 146.77/x
  3. Step 3: Cross multiply
    148.19x = 203.02 × 146.77
  4. Step 4: Simplify right side
    148.19x = 29,796.37
  5. Step 5: Solve for x
    x = 29,796.37/148.19
  6. Step 6: Final answer
    x = 201.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.