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Finding the Fourth Proportional to 261.51, 390.21 and 259.99

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Solution

The fourth proportional to 261.51, 390.21 and 259.99 is: 387.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.51 : 390.21 = 259.99 : x
  2. Step 2: Convert to fraction form
    261.51/390.21 = 259.99/x
  3. Step 3: Cross multiply
    261.51x = 390.21 × 259.99
  4. Step 4: Simplify right side
    261.51x = 101,450.21
  5. Step 5: Solve for x
    x = 101,450.21/261.51
  6. Step 6: Final answer
    x = 387.95

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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.