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Finding the Fourth Proportional to 356.80, 535.14 and 192.18

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Solution

The fourth proportional to 356.80, 535.14 and 192.18 is: 288.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.80 : 535.14 = 192.18 : x
  2. Step 2: Convert to fraction form
    356.80/535.14 = 192.18/x
  3. Step 3: Cross multiply
    356.80x = 535.14 × 192.18
  4. Step 4: Simplify right side
    356.80x = 102,843.21
  5. Step 5: Solve for x
    x = 102,843.21/356.80
  6. Step 6: Final answer
    x = 288.24

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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.