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Finding the Fourth Proportional to 219.51, 302.91 and 126.25

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Solution

The fourth proportional to 219.51, 302.91 and 126.25 is: 174.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.51 : 302.91 = 126.25 : x
  2. Step 2: Convert to fraction form
    219.51/302.91 = 126.25/x
  3. Step 3: Cross multiply
    219.51x = 302.91 × 126.25
  4. Step 4: Simplify right side
    219.51x = 38,242.39
  5. Step 5: Solve for x
    x = 38,242.39/219.51
  6. Step 6: Final answer
    x = 174.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.