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Finding the Fourth Proportional to 299.55, 414.08 and 253.18

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Solution

The fourth proportional to 299.55, 414.08 and 253.18 is: 349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.55 : 414.08 = 253.18 : x
  2. Step 2: Convert to fraction form
    299.55/414.08 = 253.18/x
  3. Step 3: Cross multiply
    299.55x = 414.08 × 253.18
  4. Step 4: Simplify right side
    299.55x = 104,836.77
  5. Step 5: Solve for x
    x = 104,836.77/299.55
  6. Step 6: Final answer
    x = 349.98

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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.