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Finding the Fourth Proportional to 156.93, 234.90 and 135.06

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Solution

The fourth proportional to 156.93, 234.90 and 135.06 is: 202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.93 : 234.90 = 135.06 : x
  2. Step 2: Convert to fraction form
    156.93/234.90 = 135.06/x
  3. Step 3: Cross multiply
    156.93x = 234.90 × 135.06
  4. Step 4: Simplify right side
    156.93x = 31,725.59
  5. Step 5: Solve for x
    x = 31,725.59/156.93
  6. Step 6: Final answer
    x = 202.16

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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.