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Finding the Fourth Proportional to 156.81, 215.12 and 152.54

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Solution

The fourth proportional to 156.81, 215.12 and 152.54 is: 209.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.81 : 215.12 = 152.54 : x
  2. Step 2: Convert to fraction form
    156.81/215.12 = 152.54/x
  3. Step 3: Cross multiply
    156.81x = 215.12 × 152.54
  4. Step 4: Simplify right side
    156.81x = 32,815.32
  5. Step 5: Solve for x
    x = 32,815.32/156.81
  6. Step 6: Final answer
    x = 209.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.