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Finding the Fourth Proportional to 253.10, 349.30 and 148.18

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Solution

The fourth proportional to 253.10, 349.30 and 148.18 is: 204.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.10 : 349.30 = 148.18 : x
  2. Step 2: Convert to fraction form
    253.10/349.30 = 148.18/x
  3. Step 3: Cross multiply
    253.10x = 349.30 × 148.18
  4. Step 4: Simplify right side
    253.10x = 51,759.27
  5. Step 5: Solve for x
    x = 51,759.27/253.10
  6. Step 6: Final answer
    x = 204.50

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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.