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Finding the Fourth Proportional to 334.72, 501.91 and 152.02

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Solution

The fourth proportional to 334.72, 501.91 and 152.02 is: 227.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.72 : 501.91 = 152.02 : x
  2. Step 2: Convert to fraction form
    334.72/501.91 = 152.02/x
  3. Step 3: Cross multiply
    334.72x = 501.91 × 152.02
  4. Step 4: Simplify right side
    334.72x = 76,298.34
  5. Step 5: Solve for x
    x = 76,298.34/334.72
  6. Step 6: Final answer
    x = 227.95

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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.