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Finding the Fourth Proportional to 207.40, 309.59 and 193.16

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Solution

The fourth proportional to 207.40, 309.59 and 193.16 is: 288.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.40 : 309.59 = 193.16 : x
  2. Step 2: Convert to fraction form
    207.40/309.59 = 193.16/x
  3. Step 3: Cross multiply
    207.40x = 309.59 × 193.16
  4. Step 4: Simplify right side
    207.40x = 59,799.44
  5. Step 5: Solve for x
    x = 59,799.44/207.40
  6. Step 6: Final answer
    x = 288.33

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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.