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Finding the Fourth Proportional to 315, 472.64 and 186.75

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Solution

The fourth proportional to 315, 472.64 and 186.75 is: 280.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315 : 472.64 = 186.75 : x
  2. Step 2: Convert to fraction form
    315/472.64 = 186.75/x
  3. Step 3: Cross multiply
    315x = 472.64 × 186.75
  4. Step 4: Simplify right side
    315x = 88,264.59
  5. Step 5: Solve for x
    x = 88,264.59/315
  6. Step 6: Final answer
    x = 280.21

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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.