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Finding the Fourth Proportional to 261.02, 360.23 and 191.05

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Solution

The fourth proportional to 261.02, 360.23 and 191.05 is: 263.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.02 : 360.23 = 191.05 : x
  2. Step 2: Convert to fraction form
    261.02/360.23 = 191.05/x
  3. Step 3: Cross multiply
    261.02x = 360.23 × 191.05
  4. Step 4: Simplify right side
    261.02x = 68,820.09
  5. Step 5: Solve for x
    x = 68,820.09/261.02
  6. Step 6: Final answer
    x = 263.66

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