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Finding the Fourth Proportional to 368.12, 508.05 and 210.77

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Solution

The fourth proportional to 368.12, 508.05 and 210.77 is: 290.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.12 : 508.05 = 210.77 : x
  2. Step 2: Convert to fraction form
    368.12/508.05 = 210.77/x
  3. Step 3: Cross multiply
    368.12x = 508.05 × 210.77
  4. Step 4: Simplify right side
    368.12x = 107,080.11
  5. Step 5: Solve for x
    x = 107,080.11/368.12
  6. Step 6: Final answer
    x = 290.88

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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.