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Finding the Fourth Proportional to 345.72, 477.11 and 190.47

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Solution

The fourth proportional to 345.72, 477.11 and 190.47 is: 262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.72 : 477.11 = 190.47 : x
  2. Step 2: Convert to fraction form
    345.72/477.11 = 190.47/x
  3. Step 3: Cross multiply
    345.72x = 477.11 × 190.47
  4. Step 4: Simplify right side
    345.72x = 90,875.14
  5. Step 5: Solve for x
    x = 90,875.14/345.72
  6. Step 6: Final answer
    x = 262.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.