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Finding the Fourth Proportional to 254.33, 381.54 and 117.42

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Solution

The fourth proportional to 254.33, 381.54 and 117.42 is: 176.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.33 : 381.54 = 117.42 : x
  2. Step 2: Convert to fraction form
    254.33/381.54 = 117.42/x
  3. Step 3: Cross multiply
    254.33x = 381.54 × 117.42
  4. Step 4: Simplify right side
    254.33x = 44,798.45
  5. Step 5: Solve for x
    x = 44,798.45/254.33
  6. Step 6: Final answer
    x = 176.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.