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Finding the Fourth Proportional to 152.91, 210.73 and 150.10

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Solution

The fourth proportional to 152.91, 210.73 and 150.10 is: 206.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.91 : 210.73 = 150.10 : x
  2. Step 2: Convert to fraction form
    152.91/210.73 = 150.10/x
  3. Step 3: Cross multiply
    152.91x = 210.73 × 150.10
  4. Step 4: Simplify right side
    152.91x = 31,631.10
  5. Step 5: Solve for x
    x = 31,631.10/152.91
  6. Step 6: Final answer
    x = 206.86

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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.