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Finding the Fourth Proportional to 253.37, 349.14 and 165.89

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Solution

The fourth proportional to 253.37, 349.14 and 165.89 is: 228.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.37 : 349.14 = 165.89 : x
  2. Step 2: Convert to fraction form
    253.37/349.14 = 165.89/x
  3. Step 3: Cross multiply
    253.37x = 349.14 × 165.89
  4. Step 4: Simplify right side
    253.37x = 57,916.67
  5. Step 5: Solve for x
    x = 57,916.67/253.37
  6. Step 6: Final answer
    x = 228.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.