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Finding the Fourth Proportional to 159.04, 238.08 and 143.04

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Solution

The fourth proportional to 159.04, 238.08 and 143.04 is: 214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.04 : 238.08 = 143.04 : x
  2. Step 2: Convert to fraction form
    159.04/238.08 = 143.04/x
  3. Step 3: Cross multiply
    159.04x = 238.08 × 143.04
  4. Step 4: Simplify right side
    159.04x = 34,054.96
  5. Step 5: Solve for x
    x = 34,054.96/159.04
  6. Step 6: Final answer
    x = 214.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.