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Finding the Fourth Proportional to 156.14, 233.91 and 146.10

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Solution

The fourth proportional to 156.14, 233.91 and 146.10 is: 218.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.14 : 233.91 = 146.10 : x
  2. Step 2: Convert to fraction form
    156.14/233.91 = 146.10/x
  3. Step 3: Cross multiply
    156.14x = 233.91 × 146.10
  4. Step 4: Simplify right side
    156.14x = 34,174.25
  5. Step 5: Solve for x
    x = 34,174.25/156.14
  6. Step 6: Final answer
    x = 218.88

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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.