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Finding the Fourth Proportional to 253.71, 349.74 and 170.63

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Solution

The fourth proportional to 253.71, 349.74 and 170.63 is: 235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.71 : 349.74 = 170.63 : x
  2. Step 2: Convert to fraction form
    253.71/349.74 = 170.63/x
  3. Step 3: Cross multiply
    253.71x = 349.74 × 170.63
  4. Step 4: Simplify right side
    253.71x = 59,676.14
  5. Step 5: Solve for x
    x = 59,676.14/253.71
  6. Step 6: Final answer
    x = 235.21

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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.