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Finding the Fourth Proportional to 272.03, 405.61 and 269.64

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Solution

The fourth proportional to 272.03, 405.61 and 269.64 is: 402.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.03 : 405.61 = 269.64 : x
  2. Step 2: Convert to fraction form
    272.03/405.61 = 269.64/x
  3. Step 3: Cross multiply
    272.03x = 405.61 × 269.64
  4. Step 4: Simplify right side
    272.03x = 109,368.01
  5. Step 5: Solve for x
    x = 109,368.01/272.03
  6. Step 6: Final answer
    x = 402.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.