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Finding the Fourth Proportional to 253.36, 349.40 and 160

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Solution

The fourth proportional to 253.36, 349.40 and 160 is: 220.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.36 : 349.40 = 160 : x
  2. Step 2: Convert to fraction form
    253.36/349.40 = 160/x
  3. Step 3: Cross multiply
    253.36x = 349.40 × 160
  4. Step 4: Simplify right side
    253.36x = 55,904
  5. Step 5: Solve for x
    x = 55,904/253.36
  6. Step 6: Final answer
    x = 220.65

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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.