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Finding the Fourth Proportional to 210.19, 289.88 and 127.28

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Solution

The fourth proportional to 210.19, 289.88 and 127.28 is: 175.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.19 : 289.88 = 127.28 : x
  2. Step 2: Convert to fraction form
    210.19/289.88 = 127.28/x
  3. Step 3: Cross multiply
    210.19x = 289.88 × 127.28
  4. Step 4: Simplify right side
    210.19x = 36,895.93
  5. Step 5: Solve for x
    x = 36,895.93/210.19
  6. Step 6: Final answer
    x = 175.54

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