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Finding the Fourth Proportional to 148.77, 202.64 and 148.37

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Solution

The fourth proportional to 148.77, 202.64 and 148.37 is: 202.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.77 : 202.64 = 148.37 : x
  2. Step 2: Convert to fraction form
    148.77/202.64 = 148.37/x
  3. Step 3: Cross multiply
    148.77x = 202.64 × 148.37
  4. Step 4: Simplify right side
    148.77x = 30,063.94
  5. Step 5: Solve for x
    x = 30,063.94/148.77
  6. Step 6: Final answer
    x = 202.08

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.