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Finding the Fourth Proportional to 334.86, 502.37 and 103.77

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Solution

The fourth proportional to 334.86, 502.37 and 103.77 is: 155.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.86 : 502.37 = 103.77 : x
  2. Step 2: Convert to fraction form
    334.86/502.37 = 103.77/x
  3. Step 3: Cross multiply
    334.86x = 502.37 × 103.77
  4. Step 4: Simplify right side
    334.86x = 52,130.81
  5. Step 5: Solve for x
    x = 52,130.81/334.86
  6. Step 6: Final answer
    x = 155.68

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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.