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Finding the Fourth Proportional to 156.20, 215.06 and 147.02

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Solution

The fourth proportional to 156.20, 215.06 and 147.02 is: 202.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.20 : 215.06 = 147.02 : x
  2. Step 2: Convert to fraction form
    156.20/215.06 = 147.02/x
  3. Step 3: Cross multiply
    156.20x = 215.06 × 147.02
  4. Step 4: Simplify right side
    156.20x = 31,616.31
  5. Step 5: Solve for x
    x = 31,616.31/156.20
  6. Step 6: Final answer
    x = 202.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.