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Finding the Fourth Proportional to 215.42, 296.88 and 160.07

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Solution

The fourth proportional to 215.42, 296.88 and 160.07 is: 220.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.42 : 296.88 = 160.07 : x
  2. Step 2: Convert to fraction form
    215.42/296.88 = 160.07/x
  3. Step 3: Cross multiply
    215.42x = 296.88 × 160.07
  4. Step 4: Simplify right side
    215.42x = 47,521.58
  5. Step 5: Solve for x
    x = 47,521.58/215.42
  6. Step 6: Final answer
    x = 220.60

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