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Finding the Fourth Proportional to 253.16, 349.54 and 164.77

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Solution

The fourth proportional to 253.16, 349.54 and 164.77 is: 227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.16 : 349.54 = 164.77 : x
  2. Step 2: Convert to fraction form
    253.16/349.54 = 164.77/x
  3. Step 3: Cross multiply
    253.16x = 349.54 × 164.77
  4. Step 4: Simplify right side
    253.16x = 57,593.24
  5. Step 5: Solve for x
    x = 57,593.24/253.16
  6. Step 6: Final answer
    x = 227.50

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