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Finding the Fourth Proportional to 357.66, 493.65 and 210.34

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Solution

The fourth proportional to 357.66, 493.65 and 210.34 is: 290.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.66 : 493.65 = 210.34 : x
  2. Step 2: Convert to fraction form
    357.66/493.65 = 210.34/x
  3. Step 3: Cross multiply
    357.66x = 493.65 × 210.34
  4. Step 4: Simplify right side
    357.66x = 103,835.75
  5. Step 5: Solve for x
    x = 103,835.75/357.66
  6. Step 6: Final answer
    x = 290.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.