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Finding the Fourth Proportional to 176.34, 242.85 and 159.06

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Solution

The fourth proportional to 176.34, 242.85 and 159.06 is: 219.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.34 : 242.85 = 159.06 : x
  2. Step 2: Convert to fraction form
    176.34/242.85 = 159.06/x
  3. Step 3: Cross multiply
    176.34x = 242.85 × 159.06
  4. Step 4: Simplify right side
    176.34x = 38,627.72
  5. Step 5: Solve for x
    x = 38,627.72/176.34
  6. Step 6: Final answer
    x = 219.05

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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.