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Finding the Fourth Proportional to 368.16, 507.93 and 210.78

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Solution

The fourth proportional to 368.16, 507.93 and 210.78 is: 290.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.16 : 507.93 = 210.78 : x
  2. Step 2: Convert to fraction form
    368.16/507.93 = 210.78/x
  3. Step 3: Cross multiply
    368.16x = 507.93 × 210.78
  4. Step 4: Simplify right side
    368.16x = 107,061.49
  5. Step 5: Solve for x
    x = 107,061.49/368.16
  6. Step 6: Final answer
    x = 290.80

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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.