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Finding the Fourth Proportional to 207.19, 310.77 and 70.23

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Solution

The fourth proportional to 207.19, 310.77 and 70.23 is: 105.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.19 : 310.77 = 70.23 : x
  2. Step 2: Convert to fraction form
    207.19/310.77 = 70.23/x
  3. Step 3: Cross multiply
    207.19x = 310.77 × 70.23
  4. Step 4: Simplify right side
    207.19x = 21,826.54
  5. Step 5: Solve for x
    x = 21,826.54/207.19
  6. Step 6: Final answer
    x = 105.34

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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.