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Finding the Fourth Proportional to 476.96, 715.10 and 184.22

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Solution

The fourth proportional to 476.96, 715.10 and 184.22 is: 276.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.96 : 715.10 = 184.22 : x
  2. Step 2: Convert to fraction form
    476.96/715.10 = 184.22/x
  3. Step 3: Cross multiply
    476.96x = 715.10 × 184.22
  4. Step 4: Simplify right side
    476.96x = 131,737.93
  5. Step 5: Solve for x
    x = 131,737.93/476.96
  6. Step 6: Final answer
    x = 276.21

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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.