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Finding the Fourth Proportional to 153.16, 210.74 and 133.42

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Solution

The fourth proportional to 153.16, 210.74 and 133.42 is: 183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.16 : 210.74 = 133.42 : x
  2. Step 2: Convert to fraction form
    153.16/210.74 = 133.42/x
  3. Step 3: Cross multiply
    153.16x = 210.74 × 133.42
  4. Step 4: Simplify right side
    153.16x = 28,115.74
  5. Step 5: Solve for x
    x = 28,115.74/153.16
  6. Step 6: Final answer
    x = 183.57

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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.