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Finding the Fourth Proportional to 261.19, 392.09 and 151.63

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Solution

The fourth proportional to 261.19, 392.09 and 151.63 is: 227.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.19 : 392.09 = 151.63 : x
  2. Step 2: Convert to fraction form
    261.19/392.09 = 151.63/x
  3. Step 3: Cross multiply
    261.19x = 392.09 × 151.63
  4. Step 4: Simplify right side
    261.19x = 59,450.87
  5. Step 5: Solve for x
    x = 59,450.87/261.19
  6. Step 6: Final answer
    x = 227.61

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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.