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Finding the Fourth Proportional to 219.18, 302.40 and 135.14

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Solution

The fourth proportional to 219.18, 302.40 and 135.14 is: 186.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.18 : 302.40 = 135.14 : x
  2. Step 2: Convert to fraction form
    219.18/302.40 = 135.14/x
  3. Step 3: Cross multiply
    219.18x = 302.40 × 135.14
  4. Step 4: Simplify right side
    219.18x = 40,866.34
  5. Step 5: Solve for x
    x = 40,866.34/219.18
  6. Step 6: Final answer
    x = 186.45

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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.