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Finding the Fourth Proportional to 341.18, 510.67 and 178.64

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Solution

The fourth proportional to 341.18, 510.67 and 178.64 is: 267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.18 : 510.67 = 178.64 : x
  2. Step 2: Convert to fraction form
    341.18/510.67 = 178.64/x
  3. Step 3: Cross multiply
    341.18x = 510.67 × 178.64
  4. Step 4: Simplify right side
    341.18x = 91,226.09
  5. Step 5: Solve for x
    x = 91,226.09/341.18
  6. Step 6: Final answer
    x = 267.38

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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.