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Finding the Fourth Proportional to 272.07, 407.61 and 207.50

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Solution

The fourth proportional to 272.07, 407.61 and 207.50 is: 310.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.07 : 407.61 = 207.50 : x
  2. Step 2: Convert to fraction form
    272.07/407.61 = 207.50/x
  3. Step 3: Cross multiply
    272.07x = 407.61 × 207.50
  4. Step 4: Simplify right side
    272.07x = 84,577.04
  5. Step 5: Solve for x
    x = 84,577.04/272.07
  6. Step 6: Final answer
    x = 310.86

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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.