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Finding the Fourth Proportional to 322.95, 484.43 and 106.51

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Solution

The fourth proportional to 322.95, 484.43 and 106.51 is: 159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.95 : 484.43 = 106.51 : x
  2. Step 2: Convert to fraction form
    322.95/484.43 = 106.51/x
  3. Step 3: Cross multiply
    322.95x = 484.43 × 106.51
  4. Step 4: Simplify right side
    322.95x = 51,596.64
  5. Step 5: Solve for x
    x = 51,596.64/322.95
  6. Step 6: Final answer
    x = 159.77

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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.