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Finding the Fourth Proportional to 334.65, 502.18 and 152.23

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Solution

The fourth proportional to 334.65, 502.18 and 152.23 is: 228.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.65 : 502.18 = 152.23 : x
  2. Step 2: Convert to fraction form
    334.65/502.18 = 152.23/x
  3. Step 3: Cross multiply
    334.65x = 502.18 × 152.23
  4. Step 4: Simplify right side
    334.65x = 76,446.86
  5. Step 5: Solve for x
    x = 76,446.86/334.65
  6. Step 6: Final answer
    x = 228.44

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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.