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Finding the Fourth Proportional to 256.34, 384.24 and 175.21

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Solution

The fourth proportional to 256.34, 384.24 and 175.21 is: 262.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.34 : 384.24 = 175.21 : x
  2. Step 2: Convert to fraction form
    256.34/384.24 = 175.21/x
  3. Step 3: Cross multiply
    256.34x = 384.24 × 175.21
  4. Step 4: Simplify right side
    256.34x = 67,320.77
  5. Step 5: Solve for x
    x = 67,320.77/256.34
  6. Step 6: Final answer
    x = 262.62

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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.