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Finding the Fourth Proportional to 219.50, 302.40 and 145.64

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Solution

The fourth proportional to 219.50, 302.40 and 145.64 is: 200.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.50 : 302.40 = 145.64 : x
  2. Step 2: Convert to fraction form
    219.50/302.40 = 145.64/x
  3. Step 3: Cross multiply
    219.50x = 302.40 × 145.64
  4. Step 4: Simplify right side
    219.50x = 44,041.54
  5. Step 5: Solve for x
    x = 44,041.54/219.50
  6. Step 6: Final answer
    x = 200.64

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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.