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Finding the Fourth Proportional to 176.19, 264.43 and 68.05

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Solution

The fourth proportional to 176.19, 264.43 and 68.05 is: 102.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.19 : 264.43 = 68.05 : x
  2. Step 2: Convert to fraction form
    176.19/264.43 = 68.05/x
  3. Step 3: Cross multiply
    176.19x = 264.43 × 68.05
  4. Step 4: Simplify right side
    176.19x = 17,994.46
  5. Step 5: Solve for x
    x = 17,994.46/176.19
  6. Step 6: Final answer
    x = 102.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.