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Finding the Fourth Proportional to 176.15, 243.02 and 114.01

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Solution

The fourth proportional to 176.15, 243.02 and 114.01 is: 157.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.15 : 243.02 = 114.01 : x
  2. Step 2: Convert to fraction form
    176.15/243.02 = 114.01/x
  3. Step 3: Cross multiply
    176.15x = 243.02 × 114.01
  4. Step 4: Simplify right side
    176.15x = 27,706.39
  5. Step 5: Solve for x
    x = 27,706.39/176.15
  6. Step 6: Final answer
    x = 157.29

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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.