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Finding the Fourth Proportional to 270.93, 374.16 and 261.87

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Solution

The fourth proportional to 270.93, 374.16 and 261.87 is: 361.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.93 : 374.16 = 261.87 : x
  2. Step 2: Convert to fraction form
    270.93/374.16 = 261.87/x
  3. Step 3: Cross multiply
    270.93x = 374.16 × 261.87
  4. Step 4: Simplify right side
    270.93x = 97,981.28
  5. Step 5: Solve for x
    x = 97,981.28/270.93
  6. Step 6: Final answer
    x = 361.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.