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Finding the Fourth Proportional to 228.64, 342.54 and 105.34

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Solution

The fourth proportional to 228.64, 342.54 and 105.34 is: 157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.64 : 342.54 = 105.34 : x
  2. Step 2: Convert to fraction form
    228.64/342.54 = 105.34/x
  3. Step 3: Cross multiply
    228.64x = 342.54 × 105.34
  4. Step 4: Simplify right side
    228.64x = 36,082.64
  5. Step 5: Solve for x
    x = 36,082.64/228.64
  6. Step 6: Final answer
    x = 157.82

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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.