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Finding the Fourth Proportional to 256.44, 383.48 and 210.18

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Solution

The fourth proportional to 256.44, 383.48 and 210.18 is: 314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.44 : 383.48 = 210.18 : x
  2. Step 2: Convert to fraction form
    256.44/383.48 = 210.18/x
  3. Step 3: Cross multiply
    256.44x = 383.48 × 210.18
  4. Step 4: Simplify right side
    256.44x = 80,599.83
  5. Step 5: Solve for x
    x = 80,599.83/256.44
  6. Step 6: Final answer
    x = 314.30

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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.