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Finding the Fourth Proportional to 254.68, 379.12 and 253.32

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Solution

The fourth proportional to 254.68, 379.12 and 253.32 is: 377.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.68 : 379.12 = 253.32 : x
  2. Step 2: Convert to fraction form
    254.68/379.12 = 253.32/x
  3. Step 3: Cross multiply
    254.68x = 379.12 × 253.32
  4. Step 4: Simplify right side
    254.68x = 96,038.68
  5. Step 5: Solve for x
    x = 96,038.68/254.68
  6. Step 6: Final answer
    x = 377.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.