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Finding the Fourth Proportional to 268.60, 370.66 and 152.16

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Solution

The fourth proportional to 268.60, 370.66 and 152.16 is: 209.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.60 : 370.66 = 152.16 : x
  2. Step 2: Convert to fraction form
    268.60/370.66 = 152.16/x
  3. Step 3: Cross multiply
    268.60x = 370.66 × 152.16
  4. Step 4: Simplify right side
    268.60x = 56,399.25
  5. Step 5: Solve for x
    x = 56,399.25/268.60
  6. Step 6: Final answer
    x = 209.98

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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.