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Finding the Fourth Proportional to 366.16, 505.27 and 210.88

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Solution

The fourth proportional to 366.16, 505.27 and 210.88 is: 290.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.16 : 505.27 = 210.88 : x
  2. Step 2: Convert to fraction form
    366.16/505.27 = 210.88/x
  3. Step 3: Cross multiply
    366.16x = 505.27 × 210.88
  4. Step 4: Simplify right side
    366.16x = 106,547.76
  5. Step 5: Solve for x
    x = 106,547.76/366.16
  6. Step 6: Final answer
    x = 290.99

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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.