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Finding the Fourth Proportional to 434.65, 652.14 and 160.75

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Solution

The fourth proportional to 434.65, 652.14 and 160.75 is: 241.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.65 : 652.14 = 160.75 : x
  2. Step 2: Convert to fraction form
    434.65/652.14 = 160.75/x
  3. Step 3: Cross multiply
    434.65x = 652.14 × 160.75
  4. Step 4: Simplify right side
    434.65x = 104,831.51
  5. Step 5: Solve for x
    x = 104,831.51/434.65
  6. Step 6: Final answer
    x = 241.19

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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.