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Finding the Fourth Proportional to 157.04, 233.94 and 152.26

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Solution

The fourth proportional to 157.04, 233.94 and 152.26 is: 226.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.04 : 233.94 = 152.26 : x
  2. Step 2: Convert to fraction form
    157.04/233.94 = 152.26/x
  3. Step 3: Cross multiply
    157.04x = 233.94 × 152.26
  4. Step 4: Simplify right side
    157.04x = 35,619.70
  5. Step 5: Solve for x
    x = 35,619.70/157.04
  6. Step 6: Final answer
    x = 226.82

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Why These Related Problems?

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