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Finding the Fourth Proportional to 345, 517.36 and 162.28

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Solution

The fourth proportional to 345, 517.36 and 162.28 is: 243.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    345 : 517.36 = 162.28 : x
  2. Step 2: Convert to fraction form
    345/517.36 = 162.28/x
  3. Step 3: Cross multiply
    345x = 517.36 × 162.28
  4. Step 4: Simplify right side
    345x = 83,957.18
  5. Step 5: Solve for x
    x = 83,957.18/345
  6. Step 6: Final answer
    x = 243.35

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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.