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Finding the Fourth Proportional to 256.02, 384.30 and 210.84

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Solution

The fourth proportional to 256.02, 384.30 and 210.84 is: 316.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.02 : 384.30 = 210.84 : x
  2. Step 2: Convert to fraction form
    256.02/384.30 = 210.84/x
  3. Step 3: Cross multiply
    256.02x = 384.30 × 210.84
  4. Step 4: Simplify right side
    256.02x = 81,025.81
  5. Step 5: Solve for x
    x = 81,025.81/256.02
  6. Step 6: Final answer
    x = 316.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.