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Finding the Fourth Proportional to 228.21, 341.94 and 145.74

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Solution

The fourth proportional to 228.21, 341.94 and 145.74 is: 218.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.21 : 341.94 = 145.74 : x
  2. Step 2: Convert to fraction form
    228.21/341.94 = 145.74/x
  3. Step 3: Cross multiply
    228.21x = 341.94 × 145.74
  4. Step 4: Simplify right side
    228.21x = 49,834.34
  5. Step 5: Solve for x
    x = 49,834.34/228.21
  6. Step 6: Final answer
    x = 218.37

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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.