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Finding the Fourth Proportional to 336.81, 505.02 and 117.31

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Solution

The fourth proportional to 336.81, 505.02 and 117.31 is: 175.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.81 : 505.02 = 117.31 : x
  2. Step 2: Convert to fraction form
    336.81/505.02 = 117.31/x
  3. Step 3: Cross multiply
    336.81x = 505.02 × 117.31
  4. Step 4: Simplify right side
    336.81x = 59,243.90
  5. Step 5: Solve for x
    x = 59,243.90/336.81
  6. Step 6: Final answer
    x = 175.90

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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.