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Finding the Fourth Proportional to 210.53, 289.86 and 184.64

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Solution

The fourth proportional to 210.53, 289.86 and 184.64 is: 254.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.53 : 289.86 = 184.64 : x
  2. Step 2: Convert to fraction form
    210.53/289.86 = 184.64/x
  3. Step 3: Cross multiply
    210.53x = 289.86 × 184.64
  4. Step 4: Simplify right side
    210.53x = 53,519.75
  5. Step 5: Solve for x
    x = 53,519.75/210.53
  6. Step 6: Final answer
    x = 254.21

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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.