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Finding the Fourth Proportional to 261.12, 389.64 and 233.85

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Solution

The fourth proportional to 261.12, 389.64 and 233.85 is: 348.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.12 : 389.64 = 233.85 : x
  2. Step 2: Convert to fraction form
    261.12/389.64 = 233.85/x
  3. Step 3: Cross multiply
    261.12x = 389.64 × 233.85
  4. Step 4: Simplify right side
    261.12x = 91,117.31
  5. Step 5: Solve for x
    x = 91,117.31/261.12
  6. Step 6: Final answer
    x = 348.95

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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.