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Finding the Fourth Proportional to 261.05, 390.94 and 169.24

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Solution

The fourth proportional to 261.05, 390.94 and 169.24 is: 253.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.05 : 390.94 = 169.24 : x
  2. Step 2: Convert to fraction form
    261.05/390.94 = 169.24/x
  3. Step 3: Cross multiply
    261.05x = 390.94 × 169.24
  4. Step 4: Simplify right side
    261.05x = 66,162.69
  5. Step 5: Solve for x
    x = 66,162.69/261.05
  6. Step 6: Final answer
    x = 253.45

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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.