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Finding the Fourth Proportional to 157.32, 215.58 and 157.08

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Solution

The fourth proportional to 157.32, 215.58 and 157.08 is: 215.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.32 : 215.58 = 157.08 : x
  2. Step 2: Convert to fraction form
    157.32/215.58 = 157.08/x
  3. Step 3: Cross multiply
    157.32x = 215.58 × 157.08
  4. Step 4: Simplify right side
    157.32x = 33,863.31
  5. Step 5: Solve for x
    x = 33,863.31/157.32
  6. Step 6: Final answer
    x = 215.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.