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Finding the Fourth Proportional to 253.90, 380.12 and 157.06

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Solution

The fourth proportional to 253.90, 380.12 and 157.06 is: 235.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.90 : 380.12 = 157.06 : x
  2. Step 2: Convert to fraction form
    253.90/380.12 = 157.06/x
  3. Step 3: Cross multiply
    253.90x = 380.12 × 157.06
  4. Step 4: Simplify right side
    253.90x = 59,700.86
  5. Step 5: Solve for x
    x = 59,700.86/253.90
  6. Step 6: Final answer
    x = 235.14

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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.