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Finding the Fourth Proportional to 228.84, 315.66 and 144.68

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Solution

The fourth proportional to 228.84, 315.66 and 144.68 is: 199.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.84 : 315.66 = 144.68 : x
  2. Step 2: Convert to fraction form
    228.84/315.66 = 144.68/x
  3. Step 3: Cross multiply
    228.84x = 315.66 × 144.68
  4. Step 4: Simplify right side
    228.84x = 45,669.69
  5. Step 5: Solve for x
    x = 45,669.69/228.84
  6. Step 6: Final answer
    x = 199.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.