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Finding the Fourth Proportional to 143.04, 215.76 and 134.16

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Solution

The fourth proportional to 143.04, 215.76 and 134.16 is: 202.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.04 : 215.76 = 134.16 : x
  2. Step 2: Convert to fraction form
    143.04/215.76 = 134.16/x
  3. Step 3: Cross multiply
    143.04x = 215.76 × 134.16
  4. Step 4: Simplify right side
    143.04x = 28,946.36
  5. Step 5: Solve for x
    x = 28,946.36/143.04
  6. Step 6: Final answer
    x = 202.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.