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Finding the Fourth Proportional to 355.71, 533.56 and 193.51

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Solution

The fourth proportional to 355.71, 533.56 and 193.51 is: 290.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.71 : 533.56 = 193.51 : x
  2. Step 2: Convert to fraction form
    355.71/533.56 = 193.51/x
  3. Step 3: Cross multiply
    355.71x = 533.56 × 193.51
  4. Step 4: Simplify right side
    355.71x = 103,247.28
  5. Step 5: Solve for x
    x = 103,247.28/355.71
  6. Step 6: Final answer
    x = 290.26

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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.