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Finding the Fourth Proportional to 312.34, 468.66 and 180.64

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Solution

The fourth proportional to 312.34, 468.66 and 180.64 is: 271.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.34 : 468.66 = 180.64 : x
  2. Step 2: Convert to fraction form
    312.34/468.66 = 180.64/x
  3. Step 3: Cross multiply
    312.34x = 468.66 × 180.64
  4. Step 4: Simplify right side
    312.34x = 84,658.74
  5. Step 5: Solve for x
    x = 84,658.74/312.34
  6. Step 6: Final answer
    x = 271.05

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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.