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Finding the Fourth Proportional to 356.62, 534.88 and 96.64

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Solution

The fourth proportional to 356.62, 534.88 and 96.64 is: 144.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.62 : 534.88 = 96.64 : x
  2. Step 2: Convert to fraction form
    356.62/534.88 = 96.64/x
  3. Step 3: Cross multiply
    356.62x = 534.88 × 96.64
  4. Step 4: Simplify right side
    356.62x = 51,687.65
  5. Step 5: Solve for x
    x = 51,687.65/356.62
  6. Step 6: Final answer
    x = 144.94

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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.