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Finding the Fourth Proportional to 157.60, 235.16 and 150.40

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Solution

The fourth proportional to 157.60, 235.16 and 150.40 is: 224.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.60 : 235.16 = 150.40 : x
  2. Step 2: Convert to fraction form
    157.60/235.16 = 150.40/x
  3. Step 3: Cross multiply
    157.60x = 235.16 × 150.40
  4. Step 4: Simplify right side
    157.60x = 35,368.06
  5. Step 5: Solve for x
    x = 35,368.06/157.60
  6. Step 6: Final answer
    x = 224.42

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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.