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Finding the Fourth Proportional to 254.68, 382.12 and 152.08

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Solution

The fourth proportional to 254.68, 382.12 and 152.08 is: 228.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.68 : 382.12 = 152.08 : x
  2. Step 2: Convert to fraction form
    254.68/382.12 = 152.08/x
  3. Step 3: Cross multiply
    254.68x = 382.12 × 152.08
  4. Step 4: Simplify right side
    254.68x = 58,112.81
  5. Step 5: Solve for x
    x = 58,112.81/254.68
  6. Step 6: Final answer
    x = 228.18

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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.