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Finding the Fourth Proportional to 254.51, 383.15 and 173.87

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Solution

The fourth proportional to 254.51, 383.15 and 173.87 is: 261.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.51 : 383.15 = 173.87 : x
  2. Step 2: Convert to fraction form
    254.51/383.15 = 173.87/x
  3. Step 3: Cross multiply
    254.51x = 383.15 × 173.87
  4. Step 4: Simplify right side
    254.51x = 66,615.51
  5. Step 5: Solve for x
    x = 66,615.51/254.51
  6. Step 6: Final answer
    x = 261.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.