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Finding the Fourth Proportional to 228.86, 315.86 and 130.64

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Solution

The fourth proportional to 228.86, 315.86 and 130.64 is: 180.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.86 : 315.86 = 130.64 : x
  2. Step 2: Convert to fraction form
    228.86/315.86 = 130.64/x
  3. Step 3: Cross multiply
    228.86x = 315.86 × 130.64
  4. Step 4: Simplify right side
    228.86x = 41,263.95
  5. Step 5: Solve for x
    x = 41,263.95/228.86
  6. Step 6: Final answer
    x = 180.30

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Why These Related Problems?

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