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Finding the Fourth Proportional to 219.32, 302.46 and 145.50

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Solution

The fourth proportional to 219.32, 302.46 and 145.50 is: 200.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.32 : 302.46 = 145.50 : x
  2. Step 2: Convert to fraction form
    219.32/302.46 = 145.50/x
  3. Step 3: Cross multiply
    219.32x = 302.46 × 145.50
  4. Step 4: Simplify right side
    219.32x = 44,007.93
  5. Step 5: Solve for x
    x = 44,007.93/219.32
  6. Step 6: Final answer
    x = 200.66

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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.