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Finding the Fourth Proportional to 228.42, 315.20 and 130.18

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Solution

The fourth proportional to 228.42, 315.20 and 130.18 is: 179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.42 : 315.20 = 130.18 : x
  2. Step 2: Convert to fraction form
    228.42/315.20 = 130.18/x
  3. Step 3: Cross multiply
    228.42x = 315.20 × 130.18
  4. Step 4: Simplify right side
    228.42x = 41,032.74
  5. Step 5: Solve for x
    x = 41,032.74/228.42
  6. Step 6: Final answer
    x = 179.64

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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.