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Finding the Fourth Proportional to 160.01, 220.68 and 146.93

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Solution

The fourth proportional to 160.01, 220.68 and 146.93 is: 202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.01 : 220.68 = 146.93 : x
  2. Step 2: Convert to fraction form
    160.01/220.68 = 146.93/x
  3. Step 3: Cross multiply
    160.01x = 220.68 × 146.93
  4. Step 4: Simplify right side
    160.01x = 32,424.51
  5. Step 5: Solve for x
    x = 32,424.51/160.01
  6. Step 6: Final answer
    x = 202.65

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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.