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Finding the Fourth Proportional to 253.40, 380.10 and 125.16

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Solution

The fourth proportional to 253.40, 380.10 and 125.16 is: 187.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.40 : 380.10 = 125.16 : x
  2. Step 2: Convert to fraction form
    253.40/380.10 = 125.16/x
  3. Step 3: Cross multiply
    253.40x = 380.10 × 125.16
  4. Step 4: Simplify right side
    253.40x = 47,573.32
  5. Step 5: Solve for x
    x = 47,573.32/253.40
  6. Step 6: Final answer
    x = 187.74

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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.