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Finding the Fourth Proportional to 261.09, 390.69 and 192.51

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Solution

The fourth proportional to 261.09, 390.69 and 192.51 is: 288.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.09 : 390.69 = 192.51 : x
  2. Step 2: Convert to fraction form
    261.09/390.69 = 192.51/x
  3. Step 3: Cross multiply
    261.09x = 390.69 × 192.51
  4. Step 4: Simplify right side
    261.09x = 75,211.73
  5. Step 5: Solve for x
    x = 75,211.73/261.09
  6. Step 6: Final answer
    x = 288.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.