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Finding the Fourth Proportional to 368.64, 552.96 and 214.80

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Solution

The fourth proportional to 368.64, 552.96 and 214.80 is: 322.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.64 : 552.96 = 214.80 : x
  2. Step 2: Convert to fraction form
    368.64/552.96 = 214.80/x
  3. Step 3: Cross multiply
    368.64x = 552.96 × 214.80
  4. Step 4: Simplify right side
    368.64x = 118,775.81
  5. Step 5: Solve for x
    x = 118,775.81/368.64
  6. Step 6: Final answer
    x = 322.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.