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Finding the Fourth Proportional to 144.01, 214.89 and 128.67

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Solution

The fourth proportional to 144.01, 214.89 and 128.67 is: 192.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.01 : 214.89 = 128.67 : x
  2. Step 2: Convert to fraction form
    144.01/214.89 = 128.67/x
  3. Step 3: Cross multiply
    144.01x = 214.89 × 128.67
  4. Step 4: Simplify right side
    144.01x = 27,648.82
  5. Step 5: Solve for x
    x = 27,648.82/144.01
  6. Step 6: Final answer
    x = 192.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.