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Finding the Fourth Proportional to 368.76, 553.28 and 176.40

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Solution

The fourth proportional to 368.76, 553.28 and 176.40 is: 264.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.76 : 553.28 = 176.40 : x
  2. Step 2: Convert to fraction form
    368.76/553.28 = 176.40/x
  3. Step 3: Cross multiply
    368.76x = 553.28 × 176.40
  4. Step 4: Simplify right side
    368.76x = 97,598.59
  5. Step 5: Solve for x
    x = 97,598.59/368.76
  6. Step 6: Final answer
    x = 264.67

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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.