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Finding the Fourth Proportional to 255.81, 384.30 and 202.35

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Solution

The fourth proportional to 255.81, 384.30 and 202.35 is: 303.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.81 : 384.30 = 202.35 : x
  2. Step 2: Convert to fraction form
    255.81/384.30 = 202.35/x
  3. Step 3: Cross multiply
    255.81x = 384.30 × 202.35
  4. Step 4: Simplify right side
    255.81x = 77,763.11
  5. Step 5: Solve for x
    x = 77,763.11/255.81
  6. Step 6: Final answer
    x = 303.99

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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.