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Finding the Fourth Proportional to 356.81, 535.17 and 96.83

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Solution

The fourth proportional to 356.81, 535.17 and 96.83 is: 145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.81 : 535.17 = 96.83 : x
  2. Step 2: Convert to fraction form
    356.81/535.17 = 96.83/x
  3. Step 3: Cross multiply
    356.81x = 535.17 × 96.83
  4. Step 4: Simplify right side
    356.81x = 51,820.51
  5. Step 5: Solve for x
    x = 51,820.51/356.81
  6. Step 6: Final answer
    x = 145.23

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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.