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Finding the Fourth Proportional to 261.09, 390.87 and 205.47

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Solution

The fourth proportional to 261.09, 390.87 and 205.47 is: 307.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.09 : 390.87 = 205.47 : x
  2. Step 2: Convert to fraction form
    261.09/390.87 = 205.47/x
  3. Step 3: Cross multiply
    261.09x = 390.87 × 205.47
  4. Step 4: Simplify right side
    261.09x = 80,312.06
  5. Step 5: Solve for x
    x = 80,312.06/261.09
  6. Step 6: Final answer
    x = 307.60

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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.