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Finding the Fourth Proportional to 236.16, 354.24 and 160

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Solution

The fourth proportional to 236.16, 354.24 and 160 is: 240

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.16 : 354.24 = 160 : x
  2. Step 2: Convert to fraction form
    236.16/354.24 = 160/x
  3. Step 3: Cross multiply
    236.16x = 354.24 × 160
  4. Step 4: Simplify right side
    236.16x = 56,678.40
  5. Step 5: Solve for x
    x = 56,678.40/236.16
  6. Step 6: Final answer
    x = 240

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Why These Related Problems?

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