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Finding the Fourth Proportional to 256.99, 384.81 and 180.04

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Solution

The fourth proportional to 256.99, 384.81 and 180.04 is: 269.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.99 : 384.81 = 180.04 : x
  2. Step 2: Convert to fraction form
    256.99/384.81 = 180.04/x
  3. Step 3: Cross multiply
    256.99x = 384.81 × 180.04
  4. Step 4: Simplify right side
    256.99x = 69,281.19
  5. Step 5: Solve for x
    x = 69,281.19/256.99
  6. Step 6: Final answer
    x = 269.59

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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.