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Finding the Fourth Proportional to 215.95, 297.95 and 157.02

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Solution

The fourth proportional to 215.95, 297.95 and 157.02 is: 216.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.95 : 297.95 = 157.02 : x
  2. Step 2: Convert to fraction form
    215.95/297.95 = 157.02/x
  3. Step 3: Cross multiply
    215.95x = 297.95 × 157.02
  4. Step 4: Simplify right side
    215.95x = 46,784.11
  5. Step 5: Solve for x
    x = 46,784.11/215.95
  6. Step 6: Final answer
    x = 216.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.