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Finding the Fourth Proportional to 334.35, 501.32 and 152.00

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Solution

The fourth proportional to 334.35, 501.32 and 152.00 is: 227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.35 : 501.32 = 152.00 : x
  2. Step 2: Convert to fraction form
    334.35/501.32 = 152.00/x
  3. Step 3: Cross multiply
    334.35x = 501.32 × 152.00
  4. Step 4: Simplify right side
    334.35x = 76,197.37
  5. Step 5: Solve for x
    x = 76,197.37/334.35
  6. Step 6: Final answer
    x = 227.90

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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.