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Finding the Fourth Proportional to 160.04, 219.01 and 156.68

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Solution

The fourth proportional to 160.04, 219.01 and 156.68 is: 214.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.04 : 219.01 = 156.68 : x
  2. Step 2: Convert to fraction form
    160.04/219.01 = 156.68/x
  3. Step 3: Cross multiply
    160.04x = 219.01 × 156.68
  4. Step 4: Simplify right side
    160.04x = 34,314.49
  5. Step 5: Solve for x
    x = 34,314.49/160.04
  6. Step 6: Final answer
    x = 214.41

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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.