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Finding the Fourth Proportional to 354.38, 530.96 and 148.81

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Solution

The fourth proportional to 354.38, 530.96 and 148.81 is: 222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.38 : 530.96 = 148.81 : x
  2. Step 2: Convert to fraction form
    354.38/530.96 = 148.81/x
  3. Step 3: Cross multiply
    354.38x = 530.96 × 148.81
  4. Step 4: Simplify right side
    354.38x = 79,012.58
  5. Step 5: Solve for x
    x = 79,012.58/354.38
  6. Step 6: Final answer
    x = 222.96

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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.