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Finding the Fourth Proportional to 257.68, 384.36 and 233.08

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Solution

The fourth proportional to 257.68, 384.36 and 233.08 is: 347.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.68 : 384.36 = 233.08 : x
  2. Step 2: Convert to fraction form
    257.68/384.36 = 233.08/x
  3. Step 3: Cross multiply
    257.68x = 384.36 × 233.08
  4. Step 4: Simplify right side
    257.68x = 89,586.63
  5. Step 5: Solve for x
    x = 89,586.63/257.68
  6. Step 6: Final answer
    x = 347.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.