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Finding the Fourth Proportional to 261.09, 390.72 and 222.11

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Solution

The fourth proportional to 261.09, 390.72 and 222.11 is: 332.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.09 : 390.72 = 222.11 : x
  2. Step 2: Convert to fraction form
    261.09/390.72 = 222.11/x
  3. Step 3: Cross multiply
    261.09x = 390.72 × 222.11
  4. Step 4: Simplify right side
    261.09x = 86,783.16
  5. Step 5: Solve for x
    x = 86,783.16/261.09
  6. Step 6: Final answer
    x = 332.39

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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.