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Finding the Fourth Proportional to 206.48, 310.07 and 172.51

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Solution

The fourth proportional to 206.48, 310.07 and 172.51 is: 259.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.48 : 310.07 = 172.51 : x
  2. Step 2: Convert to fraction form
    206.48/310.07 = 172.51/x
  3. Step 3: Cross multiply
    206.48x = 310.07 × 172.51
  4. Step 4: Simplify right side
    206.48x = 53,488.54
  5. Step 5: Solve for x
    x = 53,488.54/206.48
  6. Step 6: Final answer
    x = 259.05

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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.