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Finding the Fourth Proportional to 335.24, 503.02 and 152.54

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Solution

The fourth proportional to 335.24, 503.02 and 152.54 is: 228.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.24 : 503.02 = 152.54 : x
  2. Step 2: Convert to fraction form
    335.24/503.02 = 152.54/x
  3. Step 3: Cross multiply
    335.24x = 503.02 × 152.54
  4. Step 4: Simplify right side
    335.24x = 76,730.67
  5. Step 5: Solve for x
    x = 76,730.67/335.24
  6. Step 6: Final answer
    x = 228.88

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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.