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Finding the Fourth Proportional to 477.18, 715.67 and 164.77

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Solution

The fourth proportional to 477.18, 715.67 and 164.77 is: 247.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.18 : 715.67 = 164.77 : x
  2. Step 2: Convert to fraction form
    477.18/715.67 = 164.77/x
  3. Step 3: Cross multiply
    477.18x = 715.67 × 164.77
  4. Step 4: Simplify right side
    477.18x = 117,920.95
  5. Step 5: Solve for x
    x = 117,920.95/477.18
  6. Step 6: Final answer
    x = 247.12

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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.