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Finding the Fourth Proportional to 150.42, 206.91 and 128.55

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Solution

The fourth proportional to 150.42, 206.91 and 128.55 is: 176.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.42 : 206.91 = 128.55 : x
  2. Step 2: Convert to fraction form
    150.42/206.91 = 128.55/x
  3. Step 3: Cross multiply
    150.42x = 206.91 × 128.55
  4. Step 4: Simplify right side
    150.42x = 26,598.28
  5. Step 5: Solve for x
    x = 26,598.28/150.42
  6. Step 6: Final answer
    x = 176.83

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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.