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Finding the Fourth Proportional to 261.63, 360.86 and 188.12

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Solution

The fourth proportional to 261.63, 360.86 and 188.12 is: 259.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.63 : 360.86 = 188.12 : x
  2. Step 2: Convert to fraction form
    261.63/360.86 = 188.12/x
  3. Step 3: Cross multiply
    261.63x = 360.86 × 188.12
  4. Step 4: Simplify right side
    261.63x = 67,884.94
  5. Step 5: Solve for x
    x = 67,884.94/261.63
  6. Step 6: Final answer
    x = 259.47

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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.