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Finding the Fourth Proportional to 156.65, 233.60 and 135.14

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Solution

The fourth proportional to 156.65, 233.60 and 135.14 is: 201.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.65 : 233.60 = 135.14 : x
  2. Step 2: Convert to fraction form
    156.65/233.60 = 135.14/x
  3. Step 3: Cross multiply
    156.65x = 233.60 × 135.14
  4. Step 4: Simplify right side
    156.65x = 31,567.62
  5. Step 5: Solve for x
    x = 31,567.62/156.65
  6. Step 6: Final answer
    x = 201.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.