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Finding the Fourth Proportional to 228.42, 342.70 and 74.36

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Solution

The fourth proportional to 228.42, 342.70 and 74.36 is: 111.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.42 : 342.70 = 74.36 : x
  2. Step 2: Convert to fraction form
    228.42/342.70 = 74.36/x
  3. Step 3: Cross multiply
    228.42x = 342.70 × 74.36
  4. Step 4: Simplify right side
    228.42x = 25,483.17
  5. Step 5: Solve for x
    x = 25,483.17/228.42
  6. Step 6: Final answer
    x = 111.56

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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.