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Finding the Fourth Proportional to 317.63, 438.15 and 193.32

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Solution

The fourth proportional to 317.63, 438.15 and 193.32 is: 266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.63 : 438.15 = 193.32 : x
  2. Step 2: Convert to fraction form
    317.63/438.15 = 193.32/x
  3. Step 3: Cross multiply
    317.63x = 438.15 × 193.32
  4. Step 4: Simplify right side
    317.63x = 84,703.88
  5. Step 5: Solve for x
    x = 84,703.88/317.63
  6. Step 6: Final answer
    x = 266.67

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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.