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Finding the Fourth Proportional to 156.17, 215.66 and 146.90

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Solution

The fourth proportional to 156.17, 215.66 and 146.90 is: 202.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.17 : 215.66 = 146.90 : x
  2. Step 2: Convert to fraction form
    156.17/215.66 = 146.90/x
  3. Step 3: Cross multiply
    156.17x = 215.66 × 146.90
  4. Step 4: Simplify right side
    156.17x = 31,680.45
  5. Step 5: Solve for x
    x = 31,680.45/156.17
  6. Step 6: Final answer
    x = 202.86

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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.