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Finding the Fourth Proportional to 334.90, 502.56 and 152.38

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Solution

The fourth proportional to 334.90, 502.56 and 152.38 is: 228.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.90 : 502.56 = 152.38 : x
  2. Step 2: Convert to fraction form
    334.90/502.56 = 152.38/x
  3. Step 3: Cross multiply
    334.90x = 502.56 × 152.38
  4. Step 4: Simplify right side
    334.90x = 76,580.09
  5. Step 5: Solve for x
    x = 76,580.09/334.90
  6. Step 6: Final answer
    x = 228.67

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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.