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Finding the Fourth Proportional to 191.88, 288.18 and 156.06

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Solution

The fourth proportional to 191.88, 288.18 and 156.06 is: 234.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.88 : 288.18 = 156.06 : x
  2. Step 2: Convert to fraction form
    191.88/288.18 = 156.06/x
  3. Step 3: Cross multiply
    191.88x = 288.18 × 156.06
  4. Step 4: Simplify right side
    191.88x = 44,973.37
  5. Step 5: Solve for x
    x = 44,973.37/191.88
  6. Step 6: Final answer
    x = 234.38

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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.