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Finding the Fourth Proportional to 203.02, 302.51 and 196.48

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Solution

The fourth proportional to 203.02, 302.51 and 196.48 is: 292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.02 : 302.51 = 196.48 : x
  2. Step 2: Convert to fraction form
    203.02/302.51 = 196.48/x
  3. Step 3: Cross multiply
    203.02x = 302.51 × 196.48
  4. Step 4: Simplify right side
    203.02x = 59,437.16
  5. Step 5: Solve for x
    x = 59,437.16/203.02
  6. Step 6: Final answer
    x = 292.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.