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Finding the Fourth Proportional to 157.95, 235.06 and 156.33

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Solution

The fourth proportional to 157.95, 235.06 and 156.33 is: 232.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.95 : 235.06 = 156.33 : x
  2. Step 2: Convert to fraction form
    157.95/235.06 = 156.33/x
  3. Step 3: Cross multiply
    157.95x = 235.06 × 156.33
  4. Step 4: Simplify right side
    157.95x = 36,746.54
  5. Step 5: Solve for x
    x = 36,746.54/157.95
  6. Step 6: Final answer
    x = 232.65

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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.