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Finding the Fourth Proportional to 468.32, 702 and 160.08

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Solution

The fourth proportional to 468.32, 702 and 160.08 is: 239.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.32 : 702 = 160.08 : x
  2. Step 2: Convert to fraction form
    468.32/702 = 160.08/x
  3. Step 3: Cross multiply
    468.32x = 702 × 160.08
  4. Step 4: Simplify right side
    468.32x = 112,376.16
  5. Step 5: Solve for x
    x = 112,376.16/468.32
  6. Step 6: Final answer
    x = 239.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.