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Finding the Fourth Proportional to 334.71, 501.84 and 152.15

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Solution

The fourth proportional to 334.71, 501.84 and 152.15 is: 228.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.71 : 501.84 = 152.15 : x
  2. Step 2: Convert to fraction form
    334.71/501.84 = 152.15/x
  3. Step 3: Cross multiply
    334.71x = 501.84 × 152.15
  4. Step 4: Simplify right side
    334.71x = 76,352.45
  5. Step 5: Solve for x
    x = 76,352.45/334.71
  6. Step 6: Final answer
    x = 228.12

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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.