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Finding the Fourth Proportional to 356.79, 534.62 and 192.26

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Solution

The fourth proportional to 356.79, 534.62 and 192.26 is: 288.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.79 : 534.62 = 192.26 : x
  2. Step 2: Convert to fraction form
    356.79/534.62 = 192.26/x
  3. Step 3: Cross multiply
    356.79x = 534.62 × 192.26
  4. Step 4: Simplify right side
    356.79x = 102,782.41
  5. Step 5: Solve for x
    x = 102,782.41/356.79
  6. Step 6: Final answer
    x = 288.08

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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.