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Finding the Fourth Proportional to 157.30, 235.98 and 102.46

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Solution

The fourth proportional to 157.30, 235.98 and 102.46 is: 153.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.30 : 235.98 = 102.46 : x
  2. Step 2: Convert to fraction form
    157.30/235.98 = 102.46/x
  3. Step 3: Cross multiply
    157.30x = 235.98 × 102.46
  4. Step 4: Simplify right side
    157.30x = 24,178.51
  5. Step 5: Solve for x
    x = 24,178.51/157.30
  6. Step 6: Final answer
    x = 153.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.