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Finding the Fourth Proportional to 159.76, 219.84 and 156.16

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Solution

The fourth proportional to 159.76, 219.84 and 156.16 is: 214.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.76 : 219.84 = 156.16 : x
  2. Step 2: Convert to fraction form
    159.76/219.84 = 156.16/x
  3. Step 3: Cross multiply
    159.76x = 219.84 × 156.16
  4. Step 4: Simplify right side
    159.76x = 34,330.21
  5. Step 5: Solve for x
    x = 34,330.21/159.76
  6. Step 6: Final answer
    x = 214.89

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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.