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Finding the Fourth Proportional to 207.36, 310.88 and 190.24

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Solution

The fourth proportional to 207.36, 310.88 and 190.24 is: 285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.36 : 310.88 = 190.24 : x
  2. Step 2: Convert to fraction form
    207.36/310.88 = 190.24/x
  3. Step 3: Cross multiply
    207.36x = 310.88 × 190.24
  4. Step 4: Simplify right side
    207.36x = 59,141.81
  5. Step 5: Solve for x
    x = 59,141.81/207.36
  6. Step 6: Final answer
    x = 285.21

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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.