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Finding the Fourth Proportional to 254.58, 381.74 and 124.50

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Solution

The fourth proportional to 254.58, 381.74 and 124.50 is: 186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.58 : 381.74 = 124.50 : x
  2. Step 2: Convert to fraction form
    254.58/381.74 = 124.50/x
  3. Step 3: Cross multiply
    254.58x = 381.74 × 124.50
  4. Step 4: Simplify right side
    254.58x = 47,526.01
  5. Step 5: Solve for x
    x = 47,526.01/254.58
  6. Step 6: Final answer
    x = 186.68

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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.