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Finding the Fourth Proportional to 253.18, 349.34 and 146.84

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Solution

The fourth proportional to 253.18, 349.34 and 146.84 is: 202.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.18 : 349.34 = 146.84 : x
  2. Step 2: Convert to fraction form
    253.18/349.34 = 146.84/x
  3. Step 3: Cross multiply
    253.18x = 349.34 × 146.84
  4. Step 4: Simplify right side
    253.18x = 51,297.09
  5. Step 5: Solve for x
    x = 51,297.09/253.18
  6. Step 6: Final answer
    x = 202.61

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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.