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Finding the Fourth Proportional to 358.01, 537.06 and 152.54

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Solution

The fourth proportional to 358.01, 537.06 and 152.54 is: 228.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.01 : 537.06 = 152.54 : x
  2. Step 2: Convert to fraction form
    358.01/537.06 = 152.54/x
  3. Step 3: Cross multiply
    358.01x = 537.06 × 152.54
  4. Step 4: Simplify right side
    358.01x = 81,923.13
  5. Step 5: Solve for x
    x = 81,923.13/358.01
  6. Step 6: Final answer
    x = 228.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.