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Finding the Fourth Proportional to 253.90, 380.50 and 114.99

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Solution

The fourth proportional to 253.90, 380.50 and 114.99 is: 172.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.90 : 380.50 = 114.99 : x
  2. Step 2: Convert to fraction form
    253.90/380.50 = 114.99/x
  3. Step 3: Cross multiply
    253.90x = 380.50 × 114.99
  4. Step 4: Simplify right side
    253.90x = 43,753.51
  5. Step 5: Solve for x
    x = 43,753.51/253.90
  6. Step 6: Final answer
    x = 172.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.