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Finding the Fourth Proportional to 347.64, 479.70 and 192.42

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Solution

The fourth proportional to 347.64, 479.70 and 192.42 is: 265.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.64 : 479.70 = 192.42 : x
  2. Step 2: Convert to fraction form
    347.64/479.70 = 192.42/x
  3. Step 3: Cross multiply
    347.64x = 479.70 × 192.42
  4. Step 4: Simplify right side
    347.64x = 92,303.87
  5. Step 5: Solve for x
    x = 92,303.87/347.64
  6. Step 6: Final answer
    x = 265.52

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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.