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Finding the Fourth Proportional to 253.19, 349.58 and 165.98

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Solution

The fourth proportional to 253.19, 349.58 and 165.98 is: 229.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.19 : 349.58 = 165.98 : x
  2. Step 2: Convert to fraction form
    253.19/349.58 = 165.98/x
  3. Step 3: Cross multiply
    253.19x = 349.58 × 165.98
  4. Step 4: Simplify right side
    253.19x = 58,023.29
  5. Step 5: Solve for x
    x = 58,023.29/253.19
  6. Step 6: Final answer
    x = 229.17

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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.