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Finding the Fourth Proportional to 358.16, 494.40 and 210.88

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Solution

The fourth proportional to 358.16, 494.40 and 210.88 is: 291.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.16 : 494.40 = 210.88 : x
  2. Step 2: Convert to fraction form
    358.16/494.40 = 210.88/x
  3. Step 3: Cross multiply
    358.16x = 494.40 × 210.88
  4. Step 4: Simplify right side
    358.16x = 104,259.07
  5. Step 5: Solve for x
    x = 104,259.07/358.16
  6. Step 6: Final answer
    x = 291.10

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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.