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Finding the Fourth Proportional to 219.06, 302.14 and 152.67

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Solution

The fourth proportional to 219.06, 302.14 and 152.67 is: 210.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.06 : 302.14 = 152.67 : x
  2. Step 2: Convert to fraction form
    219.06/302.14 = 152.67/x
  3. Step 3: Cross multiply
    219.06x = 302.14 × 152.67
  4. Step 4: Simplify right side
    219.06x = 46,127.71
  5. Step 5: Solve for x
    x = 46,127.71/219.06
  6. Step 6: Final answer
    x = 210.57

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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.