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Finding the Fourth Proportional to 385.16, 531.50 and 210.51

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Solution

The fourth proportional to 385.16, 531.50 and 210.51 is: 290.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.16 : 531.50 = 210.51 : x
  2. Step 2: Convert to fraction form
    385.16/531.50 = 210.51/x
  3. Step 3: Cross multiply
    385.16x = 531.50 × 210.51
  4. Step 4: Simplify right side
    385.16x = 111,885.01
  5. Step 5: Solve for x
    x = 111,885.01/385.16
  6. Step 6: Final answer
    x = 290.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.