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Finding the Fourth Proportional to 261.08, 392.43 and 189.26

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Solution

The fourth proportional to 261.08, 392.43 and 189.26 is: 284.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.08 : 392.43 = 189.26 : x
  2. Step 2: Convert to fraction form
    261.08/392.43 = 189.26/x
  3. Step 3: Cross multiply
    261.08x = 392.43 × 189.26
  4. Step 4: Simplify right side
    261.08x = 74,271.30
  5. Step 5: Solve for x
    x = 74,271.30/261.08
  6. Step 6: Final answer
    x = 284.48

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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.