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Finding the Fourth Proportional to 219.22, 302.58 and 145.51

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Solution

The fourth proportional to 219.22, 302.58 and 145.51 is: 200.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.22 : 302.58 = 145.51 : x
  2. Step 2: Convert to fraction form
    219.22/302.58 = 145.51/x
  3. Step 3: Cross multiply
    219.22x = 302.58 × 145.51
  4. Step 4: Simplify right side
    219.22x = 44,027.66
  5. Step 5: Solve for x
    x = 44,027.66/219.22
  6. Step 6: Final answer
    x = 200.84

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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.