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Finding the Fourth Proportional to 358.36, 537.31 and 152.81

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Solution

The fourth proportional to 358.36, 537.31 and 152.81 is: 229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.36 : 537.31 = 152.81 : x
  2. Step 2: Convert to fraction form
    358.36/537.31 = 152.81/x
  3. Step 3: Cross multiply
    358.36x = 537.31 × 152.81
  4. Step 4: Simplify right side
    358.36x = 82,106.34
  5. Step 5: Solve for x
    x = 82,106.34/358.36
  6. Step 6: Final answer
    x = 229.12

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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.