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Finding the Fourth Proportional to 317.84, 438.59 and 199.77

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Solution

The fourth proportional to 317.84, 438.59 and 199.77 is: 275.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.84 : 438.59 = 199.77 : x
  2. Step 2: Convert to fraction form
    317.84/438.59 = 199.77/x
  3. Step 3: Cross multiply
    317.84x = 438.59 × 199.77
  4. Step 4: Simplify right side
    317.84x = 87,616.13
  5. Step 5: Solve for x
    x = 87,616.13/317.84
  6. Step 6: Final answer
    x = 275.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.