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Finding the Fourth Proportional to 219.41, 302.71 and 145.75

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Solution

The fourth proportional to 219.41, 302.71 and 145.75 is: 201.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.41 : 302.71 = 145.75 : x
  2. Step 2: Convert to fraction form
    219.41/302.71 = 145.75/x
  3. Step 3: Cross multiply
    219.41x = 302.71 × 145.75
  4. Step 4: Simplify right side
    219.41x = 44,119.98
  5. Step 5: Solve for x
    x = 44,119.98/219.41
  6. Step 6: Final answer
    x = 201.08

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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.