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Finding the Fourth Proportional to 312.34, 468.51 and 184

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Solution

The fourth proportional to 312.34, 468.51 and 184 is: 276

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.34 : 468.51 = 184 : x
  2. Step 2: Convert to fraction form
    312.34/468.51 = 184/x
  3. Step 3: Cross multiply
    312.34x = 468.51 × 184
  4. Step 4: Simplify right side
    312.34x = 86,205.84
  5. Step 5: Solve for x
    x = 86,205.84/312.34
  6. Step 6: Final answer
    x = 276

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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.