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Finding the Fourth Proportional to 156.14, 233.79 and 123.35

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Solution

The fourth proportional to 156.14, 233.79 and 123.35 is: 184.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.14 : 233.79 = 123.35 : x
  2. Step 2: Convert to fraction form
    156.14/233.79 = 123.35/x
  3. Step 3: Cross multiply
    156.14x = 233.79 × 123.35
  4. Step 4: Simplify right side
    156.14x = 28,836.83
  5. Step 5: Solve for x
    x = 28,836.83/156.14
  6. Step 6: Final answer
    x = 184.69

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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.