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Finding the Fourth Proportional to 210.02, 289.84 and 127.14

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Solution

The fourth proportional to 210.02, 289.84 and 127.14 is: 175.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.02 : 289.84 = 127.14 : x
  2. Step 2: Convert to fraction form
    210.02/289.84 = 127.14/x
  3. Step 3: Cross multiply
    210.02x = 289.84 × 127.14
  4. Step 4: Simplify right side
    210.02x = 36,850.26
  5. Step 5: Solve for x
    x = 36,850.26/210.02
  6. Step 6: Final answer
    x = 175.46

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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.