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Finding the Fourth Proportional to 571.72, 856.80 and 206.16

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Solution

The fourth proportional to 571.72, 856.80 and 206.16 is: 308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.72 : 856.80 = 206.16 : x
  2. Step 2: Convert to fraction form
    571.72/856.80 = 206.16/x
  3. Step 3: Cross multiply
    571.72x = 856.80 × 206.16
  4. Step 4: Simplify right side
    571.72x = 176,637.89
  5. Step 5: Solve for x
    x = 176,637.89/571.72
  6. Step 6: Final answer
    x = 308.96

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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.