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Finding the Fourth Proportional to 345.23, 476.42 and 189.98

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Solution

The fourth proportional to 345.23, 476.42 and 189.98 is: 262.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.23 : 476.42 = 189.98 : x
  2. Step 2: Convert to fraction form
    345.23/476.42 = 189.98/x
  3. Step 3: Cross multiply
    345.23x = 476.42 × 189.98
  4. Step 4: Simplify right side
    345.23x = 90,513.01
  5. Step 5: Solve for x
    x = 90,513.01/345.23
  6. Step 6: Final answer
    x = 262.18

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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.