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Finding the Fourth Proportional to 157.40, 235.02 and 140.08

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Solution

The fourth proportional to 157.40, 235.02 and 140.08 is: 209.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.40 : 235.02 = 140.08 : x
  2. Step 2: Convert to fraction form
    157.40/235.02 = 140.08/x
  3. Step 3: Cross multiply
    157.40x = 235.02 × 140.08
  4. Step 4: Simplify right side
    157.40x = 32,921.60
  5. Step 5: Solve for x
    x = 32,921.60/157.40
  6. Step 6: Final answer
    x = 209.16

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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.