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Finding the Fourth Proportional to 254.84, 382.65 and 242.84

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Solution

The fourth proportional to 254.84, 382.65 and 242.84 is: 364.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.84 : 382.65 = 242.84 : x
  2. Step 2: Convert to fraction form
    254.84/382.65 = 242.84/x
  3. Step 3: Cross multiply
    254.84x = 382.65 × 242.84
  4. Step 4: Simplify right side
    254.84x = 92,920.81
  5. Step 5: Solve for x
    x = 92,920.81/254.84
  6. Step 6: Final answer
    x = 364.63

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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.