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Finding the Fourth Proportional to 207.40, 313.21 and 207.40

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Solution

The fourth proportional to 207.40, 313.21 and 207.40 is: 313.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.40 : 313.21 = 207.40 : x
  2. Step 2: Convert to fraction form
    207.40/313.21 = 207.40/x
  3. Step 3: Cross multiply
    207.40x = 313.21 × 207.40
  4. Step 4: Simplify right side
    207.40x = 64,959.75
  5. Step 5: Solve for x
    x = 64,959.75/207.40
  6. Step 6: Final answer
    x = 313.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.